NCERT Class 11 Mathematics Solutions: Chapter 9 –Sequences and Series Miscellaneous Exercise 9 Part 13

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Arithmetic Series

Arithmatic Series

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1. If are the sum of first n natural numbers, their squares and their cubes, respectively, show that


From the given information,


…………….. eq (1)


……………. eq (2)

So, from eq (1) and (2)

2. Find the sum of the following series up to terms:


The term of the given series is

Here, is an A.P. with first term , last term and number of terms as .