Some Special Series

### Find the sum of 10 terms of the geometric series

### Find the sum of the series {2^2 + 4^2 + 6^2 + …. + (2n)^2}

### prove that

### prove that

### Find the sum 6^3 + 7^3 + 9^3 + 10^3.

### Find the sum 112 + 122 + 132+ …202

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

Answer : It is required to find the sum (41 + 42 + 43 + …. + 100). (41 + 42 + 43 + …. + 100) = Sum of integers starting from 1 to 100 – Sum of integers starting from 1 to 40. Note: Sum of first n...

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

Answer : It is required to find the sum of (2 + 4 + 6 + 8 +… 100).

### If Sn denotes the sum of the cubes of the first n natural numbers and sn denotes the sum of the first n natural numbers then find the value of .

### prove that

### . Find the sum of the series: 5 + 7 + 13 + 31 + 85 + …. To n terms

Answer : In the given question we need to find the sum of the series. For that, first, we need to find the nth term of the series so that we can use summation of the series with standard...

### Find the sum of the series: 1 + 5 + 12 + 22 + 35 +… to n terms

Answer : In the given question we need to find the sum of the series. For that, first, we need to find the nth term of the series so that we can use summation of the series with standard identities...