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# In sequence S, all odd numbered terms are equal and all even numbered

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In sequence S, all odd numbered terms are equal and all even numbered [#permalink]

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Updated on: 16 May 2017, 00:30
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Difficulty:

15% (low)

Question Stats:

94% (00:35) correct 6% (01:26) wrong based on 34 sessions

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In sequence S, all odd numbered terms are equal and all even numbered terms are equal. The first term in the sequence is $$\sqrt{2}$$ and the second term is –2. What is approximately the sum of two consecutive terms of the sequence?

(A) –2
(B) –0.6
(C) 0
(D) 2
(E) 0.8

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Originally posted by rohan2345 on 16 May 2017, 00:27.
Last edited by Bunuel on 16 May 2017, 00:30, edited 1 time in total.
Edited the question.
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Posts: 46047
Re: In sequence S, all odd numbered terms are equal and all even numbered [#permalink]

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16 May 2017, 00:32
rohan2345 wrote:
In sequence S, all odd numbered terms are equal and all even numbered terms are equal. The first term in the sequence is $$\sqrt{2}$$ and the second term is –2. What is approximately the sum of two consecutive terms of the sequence?

(A) –2
(B) –0.6
(C) 0
(D) 2
(E) 0.8

$$\sqrt{2} \approx 1.4$$, thus the sum of two consecutive terms of the sequence $$\approx 1.4 - 2 = -0.6$$.

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Re: In sequence S, all odd numbered terms are equal and all even numbered [#permalink]

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16 May 2017, 04:11
In sequence S, all odd numbered terms are equal and all even numbered terms are equal. The first term in the sequence is $$\sqrt{2}$$ and the second term is –2. What is approximately the sum of two consecutive terms of the sequence?

Since its mentioned in the question all odd numbered terms are equal and all even numbered terms are equal.
All odd numbered terms = $$\sqrt{2}$$
[$$\sqrt{2}$$ = 1.4 (approximately)]
All even numbered terms = -2
Therefore sum of consecutive terms = $$\sqrt{2}$$ + (-2) = $$\sqrt{2}$$ - 2
Required sum = 1.4 - 2 = - 0.6 ... Answer B.....

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Re: In sequence S, all odd numbered terms are equal and all even numbered [#permalink]

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16 May 2017, 07:10
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A small note concerning the approximate values of some roots (as the 2 posters above have noted).

On the GMAT, it is very useful to memorize the following approximations:

√2 ≈ 1.4
√3 ≈ 1.7
√5 ≈ 2.2

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Brent
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Re: In sequence S, all odd numbered terms are equal and all even numbered [#permalink]

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17 May 2017, 13:53
Hi rohan2345,

While the answer choices might look "close" to one another, they're sufficiently 'spaced out' that you really don't need to do much math to answer this question.

To start, you probably know a couple of simple square roots already:

$$\sqrt{1} = 1$$
$$\sqrt{4} = 2$$

So we know that $$\sqrt{2}$$ is BETWEEN 1 and 2. This question asks us to subtract 2 from $$\sqrt{2}$$, so we're ultimately looking for an answer that is between -1 and 0... There's only one answer that fits...

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Re: In sequence S, all odd numbered terms are equal and all even numbered   [#permalink] 17 May 2017, 13:53
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