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Suppose a1, a2, a3, ... is a sequence of integers such that a_n + 1 =

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Math Expert
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Joined: 02 Sep 2009
Posts: 58372
Suppose a1, a2, a3, ... is a sequence of integers such that a_n + 1 =  [#permalink]

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New post 29 Mar 2018, 00:18
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (01:13) correct 17% (01:23) wrong based on 58 sessions

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Re: Suppose a1, a2, a3, ... is a sequence of integers such that a_n + 1 =  [#permalink]

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New post 29 Mar 2018, 00:37
1
Bunuel wrote:
Suppose \(a_1\), \(a_2\), \(a_3\), ... is a sequence of integers such that \(a_{n + 1} = 10a_n\) . How many times greater is \(a_8\) than \(a_3\)?

(A) 10^4
(B) 10^5
(C) 10^6
(D) 10^9
(E) 8^10 - 3^10


If we're not familiar with the rules of arithmetic and geometric series, we can instead pick easy numbers.
This is an Alternative approach.

Since we're not given any exact numbers, why not pick the easiest possible number to use for calculation?
Say a3 = 1.
Then a4 = 10, a5 = 100, a6 = 1000, a7 = 10,000 and a8 = 100,000

Therefore (B) is our answer.
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Re: Suppose a1, a2, a3, ... is a sequence of integers such that a_n + 1 =   [#permalink] 29 Mar 2018, 00:37
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Suppose a1, a2, a3, ... is a sequence of integers such that a_n + 1 =

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