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# When n is an odd integer, f(n)=3^n and when n is an even integer, f(n)

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6614
GMAT 1: 760 Q51 V42
GPA: 3.82
When n is an odd integer, f(n)=3^n and when n is an even integer, f(n)  [#permalink]

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31 Aug 2018, 00:18
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:07) correct 13% (00:57) wrong based on 30 sessions

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[Math Revolution GMAT math practice question]

When $$n$$ is an odd integer, $$f(n)=3^n$$ and when $$n$$ is an even integer, $$f(n)=4^{\frac{n}{2}}$$. What is the value of $$f(2^5)$$=?

$$A. 2^5$$
$$B. 3^{11}$$
$$C. 3^{12}$$
$$D. 3^{13}$$
$$E. 2^{32}$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Director Status: Learning stage Joined: 01 Oct 2017 Posts: 931 WE: Supply Chain Management (Energy and Utilities) When n is an odd integer, f(n)=3^n and when n is an even integer, f(n) [#permalink] ### Show Tags 31 Aug 2018, 00:23 MathRevolution wrote: [Math Revolution GMAT math practice question] When $$n$$ is an odd integer, $$f(n)=3^n$$ and when $$n$$ is an even integer, $$f(n)=4^{\frac{n}{2}}$$. What is the value of $$f(2^5)$$=? $$A. 2^5$$ $$B. 3^{11}$$ $$C. 3^{12}$$ $$D. 3^{13}$$ $$E. 2^{32}$$ $$2^5=32$$, which is even. So$$, f(2^5)=f(32)=4^{\frac{32}{2}}$$=$$4^{16}=(2^2)^{16}=2^{32}$$ Ans. (E) _________________ Regards, PKN Rise above the storm, you will find the sunshine Ask GMAT Experts Forum Moderator Status: Preparing for GMAT Joined: 25 Nov 2015 Posts: 984 Location: India GPA: 3.64 Re: When n is an odd integer, f(n)=3^n and when n is an even integer, f(n) [#permalink] ### Show Tags 31 Aug 2018, 00:29 MathRevolution wrote: [Math Revolution GMAT math practice question] When $$n$$ is an odd integer, $$f(n)=3^n$$ and when $$n$$ is an even integer, $$f(n)=4^{\frac{n}{2}}$$. What is the value of $$f(2^5)$$=? $$A. 2^5$$ $$B. 3^{11}$$ $$C. 3^{12}$$ $$D. 3^{13}$$ $$E. 2^{32}$$ $$f(2^5)$$=$$f(32)$$ Since 32 is even, $$f(n)=4^{\frac{32}{2}}$$=$$f(n)=4^{16}$$ =$$f(n)=2^{32}$$ Answer E. _________________ Please give kudos, if you like my post When the going gets tough, the tough gets going... Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6614 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: When n is an odd integer, f(n)=3^n and when n is an even integer, f(n) [#permalink] ### Show Tags 02 Sep 2018, 17:56 => Since $$n = 2^5$$ is an even integer, $$f(2^5) = 4^{2^\frac{5}{2}}$$=$$4^{2^4}$$=$$(2^{2)^16}=2^{32}.$$ Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: When n is an odd integer, f(n)=3^n and when n is an even integer, f(n) &nbs [#permalink] 02 Sep 2018, 17:56
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