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# For every integer m from 1 to 10 inclusive, the mth term of a certain

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Math Expert
Joined: 02 Sep 2009
Posts: 50058
For every integer m from 1 to 10 inclusive, the mth term of a certain  [#permalink]

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02 Apr 2018, 01:14
00:00

Difficulty:

45% (medium)

Question Stats:

60% (02:06) correct 40% (02:27) wrong based on 62 sessions

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For every integer m from 1 to 10 inclusive, the $$m_{th}$$ term of a certain sequence is given by $$(-1)^{(m+1)}*(\frac{1}{2})^m$$. If T is the sum of the first 10 terms in the sequence, then T is:

(A) greater than 2
(B) between 1 and 2
(C) between 0.5 and 1
(D) between 0.25 and 0.5
(E) less than 0.25

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Math Expert
Joined: 02 Sep 2009
Posts: 50058
Re: For every integer m from 1 to 10 inclusive, the mth term of a certain  [#permalink]

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02 Apr 2018, 02:55
Bunuel wrote:
For every integer m from 1 to 10 inclusive, the $$m_{th}$$ term of a certain sequence is given by $$(-1)^{(m+1)}*(\frac{1}{2})^m$$. If T is the sum of the first 10 terms in the sequence, then T is:

(A) greater than 2
(B) between 1 and 2
(C) between 0.5 and 1
(D) between 0.25 and 0.5
(E) less than 0.25

_________________
Intern
Joined: 14 Mar 2018
Posts: 4
Re: For every integer m from 1 to 10 inclusive, the mth term of a certain  [#permalink]

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02 Apr 2018, 07:47
(1/2-1/4) + (1/8-1/16) + ......

so the answer is d between .25 and .5
Re: For every integer m from 1 to 10 inclusive, the mth term of a certain &nbs [#permalink] 02 Apr 2018, 07:47
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