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What will be the maximum sum of 44, 42, 40, ... ?
1. 502
2. 504
3. 506
4. 500

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Correct Answer - Option 3 : 506

Concept:

The sum of ‘n’ terms of an AP

\(S_n = \frac{n}{2}\left[ {2a + \left( {n - 1} \right)d} \right]\)

Calculation:

Given:

AP is 44, 42,- - - - - 2.

n = 22, a = 2 and d = 2

The sum of ‘n’ terms of an AP

\(S_n= \frac{n}{2}\left[ {2a + \left( {n - 1} \right)d} \right]\)

S= 11[4 + (21 × 2)] = 11 × 46 = 506

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