Find the sum of the series whose nth term is given by:

(3n² + 2n)

Find the sum of the series whose nth term is given by:

n (n + 1) (n + 4)

Find the sum of the series whose nth term is given by:

(4n³ + 6n² + 2n)

Find the sum of the series whose nth term is given by:

(3n² – 3n + 2)

Find the sum of the series whose nth term is given by:

(2n² – 3n + 5)

Find the sum of the series whose nth term is given by:

(n³ – 3ⁿ)

Find the sum of the series:

(2² + 4² + 6² + 8² + … to n terms)

Find the sum of the series:

(2³ + 4³ + 6³ + 8³ + … to n terms)

Find the sum of the series:

(5² + 6² + 7² + … + 20²)

Find the sum of the series:

(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + … to n terms

Find the sum of the series:

(3 × 8) + (6 × 11) + (9 × 14) + … to n terms

Find the sum of the series:

(1 × 2²) + (2 × 3²) + (3 × 4²) + … to n terms

Find the sum of the series:

(1 × 2²) + (3 × 3²) + (5 × 4²) + … to n terms

Find the sum of the series:

(3 × 1²) + (5 × 2²) + (7 × 3²) + … to n terms

Find the sum of the series:

(1 × 2 × 3) + (2 × 3 × 4) + (3 × 4 × 5) + … to n terms

Find the sum of the series:

(1 × 2 × 4) + (2 × 3 × 7) + (3 × 4 × 10) + … to n terms

Find the sum of the series:

Find the sum of the series:

Find the sum of the series:

to n terms

Find the sum of the series:

3 + 15 + 35 + 63 +...to n terms

Find the sum of the series:

1 + 5 + 12 + 22 + 35 +... to n terms

Find the sum of the series:

5 + 7 + 13 + 31 + 85 + …. To n terms

If, prove that,

.

If S_n denotes the sum of the cubes of the first n natural numbers and s_n denotes the sum of the first n natural numbers then find the value of .

Find the sum (2 + 4 + 6 + 8 +… + 100).

Find the sum (41 + 42 + 43 + …. + 100).

Find the sum 11² + 12² + 13²+ …20²

Find the sum 6³ + 7³ + 8³ + 9³ + 10³.

If , find the value of .

If, find the value of.

Find the sum of the series {2² + 4² + 6² + …. + (2n)²}

Find the sum of 10 terms of the geometric series

Find the sum of n terms of the series whose r^th term is (r + 2^r).