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**Exercise 9.4**

**Find the sum to terms in each of the series in Exercises 1 to 7.**

**1.**

**Ans. **Given:to terms

= [ term of 1, 2, 3, ………..][ term of 2, 3, 4, 5, ………]

=

=

=

=

=

=

=

=

=

**2.**

**Ans. **Given: to terms

= [ term of 1, 2, 3, ………..][ term of 2, 3, 4, 5, ………][ term of 3, 4, 5, ………]

=

=

=

=

=

=

=

=

=

=

=

**3.**

**Ans. **Given:** ** to terms

= [ term of 3, 5, 7, ………..][ term of 1, 2, 3, 4, ………]^{2}

= =

=

=

=

=

=

=

=

=

=

**4.**

**Ans. **Given: to terms

=

= = [By partial fraction]

………

And

= =

**5.**

**Ans. **Given:

=

=

=

=

= = 2840

**6.**

**Ans. **Given: to terms

= [ term of 3, 6, 9, ………..][ term of 8, 11, 14, ………..]

=

= =

=

=

=

=

=

=

=

**7.**

**Ans. **Given: to terms

=

=

=

=

=

=

=

=

=

=

=

**Find the sum to terms in each of the series in Exercises 8 to 10 whose terms is given by**

**8.**

**Ans. **Given:

=

=

=

=

=

=

=

=

**9.**

**Ans. **Given:

=

=

=

=

=

**10.**

**Ans. **Given:

=

=

=

=

=

=

=

=

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