What is the sum of this series 1 1 2 8 3 27 4 64 10 1000 ........

Quantitative Aptitude ( CCS) Arithmetic progression

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What is the sum of this series 1 + 1 + 2 + 8 + 3+ 27 + 4 + 64 +_______10 + 1000?

308

3008

3800

3080

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Explanation:

Here, we are given a combination of two series
(1 + 2 + 3 + 4 +.....................+10) + (1 + 8 + 27 + 64 +............+1000)
= (1 + 2 + 3 + 4 +.....................+10) + (13 +23 +33 +43 +.................+103)
(10(10+1)/2) + ((10 × 11)/2)2 = 3080.

Hence, option 4 is the correct answer.