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# If the terms of a certain sequence are defined by the equation An

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Joined: 02 Sep 2009
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If the terms of a certain sequence are defined by the equation An  [#permalink]

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16 Aug 2018, 07:44
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Difficulty:

45% (medium)

Question Stats:

61% (01:14) correct 39% (01:14) wrong based on 36 sessions

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If the terms of a certain sequence are defined by the equation $$A_n = A_{n-1} + n$$ for all n, what is the value of An in terms of $$A_{n+1}$$?

A. $$A_{n+1} − 1$$

B. $$A_{n+1} + n + 1$$

C. $$A_{n+1} − n$$

D. $$A_{n+1} − n − 1$$

E. $$A_{n+1} − n + 1$$

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If the terms of a certain sequence are defined by the equation An  [#permalink]

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16 Aug 2018, 07:51
Bunuel wrote:
If the terms of a certain sequence are defined by the equation $$A_n = A_{n-1} + n$$ for all n, what is the value of An in terms of $$A_{n+1}$$?

A. $$A_{n+1} − 1$$

B. $$A_{n+1} + n + 1$$

C. $$A_{n+1} − n$$

D. $$A_{n+1} − n − 1$$

E. $$A_{n+1} − n + 1$$

$$A_n = A_{n-1} + n$$
replace all n by n+1. Don't leave the addition of n
$$A_{n+1} = A_n + n+1$$...
So $$A_n = A_{n+1} - n -1$$

D
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Re: If the terms of a certain sequence are defined by the equation An  [#permalink]

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16 Aug 2018, 07:54
Bunuel wrote:
If the terms of a certain sequence are defined by the equation $$A_n = A_{n-1} + n$$ for all n, what is the value of An in terms of $$A_{n+1}$$?

A. $$A_{n+1} − 1$$

B. $$A_{n+1} + n + 1$$

C. $$A_{n+1} − n$$

D. $$A_{n+1} − n − 1$$

E. $$A_{n+1} − n + 1$$

$$A_{n+1}=A_{n}+n+1$$
$$A_{n}=A_{n+1}-n-1$$
Answer D.
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Re: If the terms of a certain sequence are defined by the equation An &nbs [#permalink] 16 Aug 2018, 07:54
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# If the terms of a certain sequence are defined by the equation An

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