General Series


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1. To find the sum of first n natural numbers.

or

Suggested answer:

Let Sn = 1+2+3+4+...+n

This series is an A.P.

Here a=1, d=1, l = tn = n

2. To find the sum to squares of first n natural numbers.

or

Suggested answer:

. . . .

. . . .

. . . .

Adding vertically,

3. To find the sum to the cubes of first n natural numbers.

or

Suggested answer:

Adding vertically,

4. Method of finding sum of a series whose nth term is known.

Suggested answer:

Let the nth term of series be an3 + bn2 + cn + d

tn = an3 + bn2 + cn + d where a, b, c, d are constants.



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