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What is Decreasing Arithmetic progression? [on hold]

Number of terms in an Arithmetic progressionArithmetic Progression ProblemTo prove an Arithmetic Progression$S_n=Z_n$? Arithmetic progression.HARD Arithmetic Progression ProblemProve that this is an arithmetic progression.Arithmetic progression. $a_3 + a_6 = -20$, $S_6 = -72$. Find $a_11$.Arithmetic progression being consecutive terms of geometric progressionArithmetic progression of rationalsArithmetic /geometric progression

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Difficulty in finding decreasing arithmetic progression

sequences-and-series arithmetic

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Anmol BhoiAnmol Bhoi

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put on hold as off-topic by Lord Shark the Unknown, Gibbs, Mike Earnest, Wojowu, RRL yesterday

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• 
  
  
  

  
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  Do you know what an arithmetic progression is?
  $endgroup$
  – Brian
  2 days ago
  

  
  
  
  

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-1

$begingroup$

Difficulty in finding decreasing arithmetic progression

sequences-and-series arithmetic

share|cite|improve this question

asked 2 days ago

Anmol BhoiAnmol Bhoi

51

New contributor

Anmol Bhoi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

put on hold as off-topic by Lord Shark the Unknown, Gibbs, Mike Earnest, Wojowu, RRL yesterday

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Mike Earnest, Wojowu, RRL

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Do you know what an arithmetic progression is?
  $endgroup$
  – Brian
  2 days ago
  

  
  
  
  

add a comment | 

$begingroup$

Difficulty in finding decreasing arithmetic progression

sequences-and-series arithmetic

share|cite|improve this question

asked 2 days ago

Anmol BhoiAnmol Bhoi

51

New contributor

Anmol Bhoi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked 2 days ago

Anmol BhoiAnmol Bhoi

51

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Anmol Bhoi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

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asked 2 days ago

Anmol BhoiAnmol Bhoi

51

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Check out our Code of Conduct.

asked 2 days ago

Anmol BhoiAnmol Bhoi

51

New contributor

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asked 2 days ago

Anmol BhoiAnmol Bhoi

51

2 Answers
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7

$begingroup$

We know that an AP is of the form $a,a+d,a+2d...a+(n-1)d$ where,
$a$ is the first term and $d$ is the common difference.

A decreasing AP is one where $d<0$ so the progressing terms decrease. An example would be $10,9,8...$

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answered 2 days ago

Sameer ThakurSameer Thakur

1225

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add a comment | 

3

$begingroup$

Given how you’ve capitalized the words in the title of your question, I’m wondering whether you are interpreting the term “decreasing arithmetic progression” as

(decreasing arithmetic) progression,

as in “a progression that is somehow made of this thing called ‘decreasing arithmetic’,” rather than the intended

decreasing (arithmetic progression),

as in “an arithmetic progression that’s decreasing.”

A decreasing arithmetic progression is an arithmetic progression - a series of numbers where going from one number to the next changes the value by some fixed amount - that happens to be a decreasing sequence (one where each term is smaller than the previous one). So, for example, the sequence

$$137, 134, 131, 128, 125, 122, ...$$

would be a decreasing arithmetic progression, as it’s an arithmetic progression (each term is three less than the previous one) and it’s a decreasing sequence (the values get smaller over time).

share|cite|improve this answer

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

$endgroup$

add a comment | 

7

$begingroup$

We know that an AP is of the form $a,a+d,a+2d...a+(n-1)d$ where,
$a$ is the first term and $d$ is the common difference.

A decreasing AP is one where $d<0$ so the progressing terms decrease. An example would be $10,9,8...$

share|cite|improve this answer

answered 2 days ago

Sameer ThakurSameer Thakur

1225

$endgroup$

add a comment | 

7

$begingroup$

We know that an AP is of the form $a,a+d,a+2d...a+(n-1)d$ where,
$a$ is the first term and $d$ is the common difference.

A decreasing AP is one where $d<0$ so the progressing terms decrease. An example would be $10,9,8...$

share|cite|improve this answer

answered 2 days ago

Sameer ThakurSameer Thakur

1225

$endgroup$

add a comment | 

$begingroup$

We know that an AP is of the form $a,a+d,a+2d...a+(n-1)d$ where,
$a$ is the first term and $d$ is the common difference.

A decreasing AP is one where $d<0$ so the progressing terms decrease. An example would be $10,9,8...$

share|cite|improve this answer

answered 2 days ago

Sameer ThakurSameer Thakur

1225

$endgroup$

share|cite|improve this answer

answered 2 days ago

Sameer ThakurSameer Thakur

1225

answered 2 days ago

Sameer ThakurSameer Thakur

1225

answered 2 days ago

Sameer ThakurSameer Thakur

1225

3

$begingroup$

Given how you’ve capitalized the words in the title of your question, I’m wondering whether you are interpreting the term “decreasing arithmetic progression” as

(decreasing arithmetic) progression,

as in “a progression that is somehow made of this thing called ‘decreasing arithmetic’,” rather than the intended

decreasing (arithmetic progression),

as in “an arithmetic progression that’s decreasing.”

A decreasing arithmetic progression is an arithmetic progression - a series of numbers where going from one number to the next changes the value by some fixed amount - that happens to be a decreasing sequence (one where each term is smaller than the previous one). So, for example, the sequence

$$137, 134, 131, 128, 125, 122, ...$$

would be a decreasing arithmetic progression, as it’s an arithmetic progression (each term is three less than the previous one) and it’s a decreasing sequence (the values get smaller over time).

share|cite|improve this answer

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

$endgroup$

add a comment | 

3

$begingroup$

Given how you’ve capitalized the words in the title of your question, I’m wondering whether you are interpreting the term “decreasing arithmetic progression” as

(decreasing arithmetic) progression,

as in “a progression that is somehow made of this thing called ‘decreasing arithmetic’,” rather than the intended

decreasing (arithmetic progression),

as in “an arithmetic progression that’s decreasing.”

A decreasing arithmetic progression is an arithmetic progression - a series of numbers where going from one number to the next changes the value by some fixed amount - that happens to be a decreasing sequence (one where each term is smaller than the previous one). So, for example, the sequence

$$137, 134, 131, 128, 125, 122, ...$$

would be a decreasing arithmetic progression, as it’s an arithmetic progression (each term is three less than the previous one) and it’s a decreasing sequence (the values get smaller over time).

share|cite|improve this answer

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

$endgroup$

add a comment | 

$begingroup$

Given how you’ve capitalized the words in the title of your question, I’m wondering whether you are interpreting the term “decreasing arithmetic progression” as

(decreasing arithmetic) progression,

as in “a progression that is somehow made of this thing called ‘decreasing arithmetic’,” rather than the intended

decreasing (arithmetic progression),

as in “an arithmetic progression that’s decreasing.”

A decreasing arithmetic progression is an arithmetic progression - a series of numbers where going from one number to the next changes the value by some fixed amount - that happens to be a decreasing sequence (one where each term is smaller than the previous one). So, for example, the sequence

$$137, 134, 131, 128, 125, 122, ...$$

would be a decreasing arithmetic progression, as it’s an arithmetic progression (each term is three less than the previous one) and it’s a decreasing sequence (the values get smaller over time).

share|cite|improve this answer

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

$endgroup$

share|cite|improve this answer

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561

answered 2 days ago

templatetypedeftemplatetypedef

4,63322561