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# In a certain sequence, the first term is -4, and every term thereafter

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Math Expert
Joined: 02 Sep 2009
Posts: 51198
In a certain sequence, the first term is -4, and every term thereafter  [#permalink]

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03 Jul 2018, 08:43
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:39) correct 33% (01:18) wrong based on 40 sessions

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In a certain sequence, the first term is -4, and every term thereafter is defined by $$2 * |x| * \frac{1}{2}$$, where x = preceding term. What is the sum of the first 300 terms?

A. It cannot be determined from the information given.

B. 0

C. 1186

D. 1192

E. 1200

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Joined: 19 Nov 2017
Posts: 174
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
GPA: 4
In a certain sequence, the first term is -4, and every term thereafter  [#permalink]

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03 Jul 2018, 09:26
2
2*|x|*(1/2) = |x|

First term = - 4
Second term = |-4| = 4
Third term = |4| = 4
.
.
300th term = 4

Sum of last 299 terms + first term

=299*4 + (-4)
=1192

Hence, D.
_________________

Regards,

Vaibhav

Sky is the limit. 800 is the limit.

~GMAC

In a certain sequence, the first term is -4, and every term thereafter &nbs [#permalink] 03 Jul 2018, 09:26
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