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# Sequence

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Manager
Joined: 24 Sep 2018
Posts: 139

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08 Oct 2018, 03:41
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Difficulty:

(N/A)

Question Stats:

80% (01:28) correct 20% (03:11) wrong based on 5 sessions

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The infinite sequence $$a_{1},a_{2},...,a_{n}$$, ... is such that $$a_{1}=7, a_{2}=8,a_{3}=10, and, a_{n}=a_{n−3}+7$$ for values of n>3. What is the remainder when $$a_{n}$$is divided by 7?
1. n is a multiple of 3.
2. n is an even number.

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Math Expert
Joined: 02 Aug 2009
Posts: 7334

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08 Oct 2018, 03:45
GMATYoda wrote:
The infinite sequence $$a_{1},a_{2},...,a_{n}$$, ... is such that $$a_{1}=7, a_{2}=8,a_{3}=10, and, a_{n}=a_{n−3}+7$$ for values of n>3. What is the remainder when $$a_{n}$$is divided by 7?
1. n is a multiple of 3.
2. n is an even number.

Search before posting.
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Math Expert
Joined: 02 Sep 2009
Posts: 52910

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08 Oct 2018, 03:55
GMATYoda wrote:
The infinite sequence $$a_{1},a_{2},...,a_{n}$$, ... is such that $$a_{1}=7, a_{2}=8,a_{3}=10, and, a_{n}=a_{n−3}+7$$ for values of n>3. What is the remainder when $$a_{n}$$is divided by 7?
1. n is a multiple of 3.
2. n is an even number.

Discussed here: https://gmatclub.com/forum/the-infinite ... 56741.html

Please name topics properly when posting a question. Check rule 3 here: https://gmatclub.com/forum/rules-for-po ... 33935.html Thank you.
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Re: Sequence   [#permalink] 08 Oct 2018, 03:55
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