If 1 + 2 + 3 + .... + 10 = 55

What is the value of 13 + 23 + 33 + .... + 103?

This question was previously asked in
TNUSRB SI Official Paper (Held on 24 June 2012)
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  1. 553
  2. 552
  3. 165
  4. 55

Answer (Detailed Solution Below)

Option 2 : 552
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Detailed Solution

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Formula used:

13 + 23 +33 +....up to n term = ([n(n+1)] /2 )²

Calculation:
Let, S = 13 + 23 + 33 + .... + 103

We know that
13 + 2+33 +....up to n term = ([n(n+1)] /2 )²

Hence, the sum of given series is S = ([10(10+1] / 2)2
⇒ S = 552

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