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Find the Sum to N Terms of the Series 12 + (12 + 22) + (12 + 22 + 32) + … - CBSE (Arts) Class 11 - Mathematics

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Question

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

Solution

The given series is 12 + (12 + 22) + (12 + 2+ 32 ) + …

an = (12 + 22 + 32 +…….+ n2)

= nn+12n+16=n2n2+3n+16=2n3+3n2+n6=13n3+12n2+16n

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 7 | Page no. 196
Solution Find the Sum to N Terms of the Series 12 + (12 + 22) + (12 + 22 + 32) + … Concept: Sum to N Terms of Special Series.
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