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What is the numerical value of the second term in the following seq

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What is the numerical value of the second term in the following seq  [#permalink]

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New post 28 Jan 2020, 10:01
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  35% (medium)

Question Stats:

83% (01:31) correct 17% (01:42) wrong based on 18 sessions

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What is the numerical value of the second term in the following sequence: \(x, x+1, x+3, x+6, x+10, x+15\)...?

(1) The sum of the first and second terms is one-half the sum of the third and fourth terms.

(2) The sum of the sixth and seventh terms is 43.

Source: Master GMAT

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Re: What is the numerical value of the second term in the following seq  [#permalink]

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New post 28 Jan 2020, 19:23
SajjadAhmad wrote:
What is the numerical value of the second term in the following sequence: \(x, x+1, x+3, x+6, x+10, x+15\)...?

(1) The sum of the first and second terms is one-half the sum of the third and fourth terms.

(2) The sum of the sixth and seventh terms is 43.

Source: Master GMAT


1) 2(x+x+1) = x+3+x+6
= 4x+2 = 2x+9
2x = 7
x =3.5
second term
3.5+1 = 4.5 sufficient

2)x+15+x+21 = 43
2x+36 = 43
or x = 3.5
or x+1 = 3.5

sufficient

Hence D
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Re: What is the numerical value of the second term in the following seq   [#permalink] 28 Jan 2020, 19:23
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