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If 13 + 23 + 33 + 43 +... + 73 = 784, then the value of (0.2)3 + (0.4)3 + (0.6)3 + (0.8)+ ... + (1.4)3 is
1. 5.272
2. 6.272
3. 6.274
4. 6.476

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Correct Answer - Option 2 : 6.272

Given:

13 + 23 + 33 + 43 +... + 73 = 784

Calculation:

(0.2)3 + (0.4)3 + (0.6)3 + (0.8)+ ... + (1.4)3 

= 10-3 ( 23 + 43 + 63 + 83 + ............+ 14)

= 10-3 ( 23 × 13 + 23 × 23 + 23 × 33 + 23 × 43 + .......................+ 23 × 73 )

= 10-3 × 23 ( 13 + 23 + 33 + 43 + .......................+ 7)

Using given result, we get as

= 10-3 × 23 ( 784 )

= 6.272

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