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# Series F is defined as F n = F (n – 1) + 3 and F 1 = 10.

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Series F is defined as F n = F (n – 1) + 3 and F 1 = 10. [#permalink]  05 Jun 2017, 07:40
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Series F is defined as F n = F(n – 1) + 3 and F 1 = 10.

 Quantity A Quantity B The sum of F 4 through F 10 The sum of F 6 through F 11

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Series F is defined as F n = F (n – 1) + 3 and F 1 = 10. [#permalink]  11 Oct 2017, 05:53
The sequence is an arithmetic progression where each term is the precedent plus 3.

Moreover, one can notice that the two columns have many elements in common, since

QA: F4+F5+F6+F7+F8+F9+F10
QB: F6+F7+F8+F9+F10+F11

Thus, we can simplify the comparison to

QA: F4+F5
QB: F11

Now, since each term is three away from the preceding one, we can compute our three terms: F4= F1+3*3 = 19; F5 = F4+3 = 21 and F11 = F5 + 6*3 = 39.

Now QA = 19+21 = 40 and QB = 39.

Quantity A is greater!
Re: Series F is defined as F n = F (n – 1) + 3 and F 1 = 10.   [#permalink] 11 Oct 2017, 05:53
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