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The sequence

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Carcass
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The sequence [#permalink] New post   22 Sep 2021, 02:43
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The sequence a1,a2,a3,…an,… is such that a1=−2,a2=−5,a3=4,a4=3,and an=an−4 for n>4.


Quantity A
Quantity B
The sum of the first 64 terms of the sequence
The sum of the first 98 terms of the sequence



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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eskay1981
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Re: The sequence [#permalink] New post   24 Sep 2021, 10:50
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Carcass wrote:
The sequence a1,a2,a3,…an,… is such that a1=−2,a2=−5,a3=4,a4=3,and an=an−4 for n>4.


Quantity A
Quantity B
The sum of the first 64 terms of the sequence
The sum of the first 98 terms of the sequence



Since an=an−4, the values will repeat every 4 numbers as -2,-5,4,3,-2,-5,4,3,-2,-5,4,3,-2,-5,4,3,...

For sum of first 64, find the sum of 4 and multiply by 16 : (-2 -5 + 4 +3) * 16 = 0 * 16 = 0
For sum of first 98, 98 is not a multiple of 4, the reminder of 98/4 is 2, so sum of first 98 will be -2 -5 = -7.

Quantity A is greater.
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gmatclubot
Re: The sequence [#permalink]
24 Sep 2021, 10:50
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