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# What is the difference between the fourth and third terms of the

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
What is the difference between the fourth and third terms of the  [#permalink]

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30 Nov 2015, 02:35
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Difficulty:

5% (low)

Question Stats:

93% (01:39) correct 7% (01:44) wrong based on 99 sessions

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What is the difference between the fourth and third terms of the sequence defined by $$a_n=3^n-n^2$$?

A) 18

B) 23

C) 47

D) 65

E) 83

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Re: What is the difference between the fourth and third terms of the  [#permalink]

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30 Nov 2015, 03:03
Fourth term = 3^4 - 4^2 = 65
Third term = 3^3 - 3^2 = 18
Difference = 65 - 18 = 47

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Re: What is the difference between the fourth and third terms of the  [#permalink]

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30 Nov 2015, 04:25
a3 = 3^3 - 3^2 = 27 - 9 = 18
a4 = 3^4 - 4^2 = 81 - 16= 65

Difference , a4 - a3 = 65 - 18 = 47

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Re: What is the difference between the fourth and third terms of the   [#permalink] 30 Nov 2015, 04:25
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