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# Consider the following sequence: 2, 22, 222, 2222, 22222 etc

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Intern
Joined: 26 Apr 2013
Posts: 45
Location: United States
Concentration: Marketing, Nonprofit
GPA: 3.5
WE: Marketing (Telecommunications)
Consider the following sequence: 2, 22, 222, 2222, 22222 etc  [#permalink]

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30 Sep 2013, 08:27
2
1
5
00:00

Difficulty:

55% (hard)

Question Stats:

58% (01:25) correct 42% (01:35) wrong based on 165 sessions

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Consider the following sequence: 2, 22, 222, 2222, 22222 etc. What is ten's digit of the sum of the first fifty terms of the sequence?

A. 2
B. 8
C. 6
D. 4
E. 0
Math Expert
Joined: 02 Sep 2009
Posts: 64249
Re: Consider the following sequence: 2, 22, 222, 2222, 22222 etc  [#permalink]

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01 Oct 2013, 00:03
tk1tez7777 wrote:
Consider the following sequence: 2, 22, 222, 2222, 22222 etc. What is ten's digit of the sum of the first fifty terms of the sequence?

A. 2
B. 8
C. 6
D. 4
E. 0

For the units place we should add 50 2's --> 50*2=100, so 0 will be the units digit and 10 will be carried over;
For the tens place we should add 49 2's --> 49*2=98 plus carried over 10 = 108, so 8 will be the tens digit.

Answer: B.

Similar but harder questions to practice:
s-is-the-infinite-sequence-s1-2-s2-22-s3-97477.html
the-set-x-consists-of-the-following-terms-154393.html

Hope this helps.
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Re: Consider the following sequence: 2, 22, 222, 2222, 22222 etc  [#permalink]

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08 Mar 2019, 07:02
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Re: Consider the following sequence: 2, 22, 222, 2222, 22222 etc   [#permalink] 08 Mar 2019, 07:02

# Consider the following sequence: 2, 22, 222, 2222, 22222 etc

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