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# A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2

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Intern
Joined: 31 May 2020
Posts: 3
Re: A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2  [#permalink]

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20 Jun 2020, 14:50
n>2, if n=3, n+1=4, n+2=5
then a3=a1*a2=t a4=a3*(a1*a2)=t*t a5=a4*(a3*(a1*a2))=t*t*(t*(t))=t^4
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Re: A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2  [#permalink]

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10 Jul 2020, 18:30
BrentGMATPrepNow would this pattern hold for all problems with similar statements? The value would only change depending on a1 and a2.
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Re: A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2  [#permalink]

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12 Jul 2020, 07:02
Top Contributor
newdimension wrote:
BrentGMATPrepNow would this pattern hold for all problems with similar statements? The value would only change depending on a1 and a2.

That's correct.
If a1 = x and a2 = y, then....

a3 = xy
a4 = (xy)^2
a5 = (xy)^4
a6 = (xy)^8
.
.
.
etc
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Re: A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2  [#permalink]

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23 Jul 2020, 22:26
You can do this question mentally too.

If An is multiplication of all previous numbers, then "(multiplication of all previous numbers) = An = T

then AN+1 = MPN*AN = T^2

then AN+2 = MPN*AN*T^2 = T^4
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Re: A sequence of numbers a1, a2, a3,…. is defined as follows: a1 = 3, a2   [#permalink] 23 Jul 2020, 22:26

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