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Each term of a certain sequence is calculated by adding a pa

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

Each term of a certain sequence is calculated by adding a pa [#permalink]  27 Jul 2018, 07:11
Expert's post
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Question Stats:

60% (01:28) correct 40% (01:30) wrong based on 5 sessions
Each term of a certain sequence is calculated by adding a particular constant to the previous term. The 2nd term of this sequence is 27 and the 5th term is 84. What is the 1st term of this sequence?

(A) 20
(B) 15
(C) 13
(D) 12
(E) 8
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

Re: Each term of a certain sequence is calculated by adding a pa [#permalink]  12 Aug 2018, 05:26
Expert's post
Explanation

Let k equal the constant added to a term to get the next term. If the second term = 27, then the third term = 27 + k, the 4th term = 27 + 2k, and the 5th term = 27 + 3k. The 5th term equals 84, so create an equation:

$$27 + 3k = 84$$

$$3k = 57$$

$$k = 19$$

To find the first term, subtract k from the second term. The first term $$= 27 – 19 = 8$$.
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Sandy
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Re: Each term of a certain sequence is calculated by adding a pa   [#permalink] 12 Aug 2018, 05:26
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