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# Progressions.

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Intern
Joined: 18 Sep 2017
Posts: 5

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08 Oct 2017, 02:58
A sequence of Q consists of 15 numbers arranged in ascending order.the first term in this sequence is 25. In this sequence for the first 14 terms the ratio of the term to the next term is a fixed constant. Last term of the sequence is four times the first term. What is the 8th term in the sequence ?

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Intern
Joined: 28 Dec 2010
Posts: 49

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08 Oct 2017, 03:16
Please share options. This question would probably need eliminating wrong choices.

The sequence Q could be:$$25, 25a, 25a^2, 25a^3, .... 25a^(13), 100$$
where a>1

Since we know that all the terms are in ascending order, 14th term would be less than 15th term.
$$25a^(13) < 100$$
$$a^13 < 4$$
$$a < 2^\frac{2}{13}$$

8th term would be $$25a^7$$
8th term < $$25 * 2^\frac{14}{13}$$
8th term < $$25 * 2 * 2^\frac{1}{13}$$
8th term < $$50 * 2^\frac{1}{13}$$

Now look at the options to find a close match 25 - 53
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Intern
Joined: 18 Sep 2017
Posts: 5

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08 Oct 2017, 03:20
And is 50 abhishek..

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Intern
Joined: 18 Sep 2017
Posts: 5

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08 Oct 2017, 03:21
Sorry, no options available..

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Intern
Joined: 18 Sep 2017
Posts: 5

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08 Oct 2017, 03:22
Correct ans is 50

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Math Expert
Joined: 02 Sep 2009
Posts: 49858

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21 Oct 2017, 09:02
kunal4799 wrote:
A sequence of Q consists of 15 numbers arranged in ascending order.the first term in this sequence is 25. In this sequence for the first 14 terms the ratio of the term to the next term is a fixed constant. Last term of the sequence is four times the first term. What is the 8th term in the sequence ?

Sent from my MI MAX using GMAT Club Forum mobile app

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Progressions. &nbs [#permalink] 21 Oct 2017, 09:02
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