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Question

The sum of the first 25 terms of the series

13+141213+1214+13+141213+..... is

A
12
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B
14
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C
13
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D
14
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Solution

The correct option is D 13

13+141213+1214+13+141213+1214+....

(13+141213+1214)+(13+141213+1214)+....

As we can observe, the series repeat itself after every 6th term.

Therefore, sum of the first 6 terms

13+141213+1214=0

Hence, sum of first 24 terms = 0×4=4

Now, 25th term of the series will be 13

Hence, sum of first 25 terms = 0+13=13


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