Find the sum to n terms of the series 12-12-22-12-22-32-

The given series is 12 + (12 + 22) + (12 + 22 + 33 ) + … an = (12 + 22 + 33 +…….+ n2) ...

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Standard XII

Mathematics

Sum of n Terms

Find the sum ...

Question

Find the sum to n terms of the series 1² + (1² + 2²) + (1² + 2² + 3²) + …

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Solution

The given series is 1² + (1² + 2²) + (1² + 2²+ 3³ ) + …

a_n = (1² + 2² + 3³ +…….+ n²)

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Find the sum to n terms of the series 12 + (12 + 22) + (12 + 22 + 32) + …

The given series is 12 + (12 + 22) + (12 + 22 + 33 ) + … an = (12 + 22 + 33 +…….+ n2)

Find the sum to n terms of the series 1² + (1² + 2²) + (1² + 2² + 3²) + …

The given series is 1² + (1² + 2²) + (1² + 2²+ 3³ ) + …

a_n = (1² + 2² + 3³ +…….+ n²)