Science (English Medium) कक्षा ११ - CBSE Question Bank Solutions

Find the sum of the following arithmetic progression :

50, 46, 42, ... to 10 terms

Find the sum of the following arithmetic progression :

1, 3, 5, 7, ... to 12 terms

Find the sum of the following arithmetic progression :

3, 9/2, 6, 15/2, ... to 25 terms

Find the sum of the following arithmetic progression :

41, 36, 31, ... to 12 terms

Find the sum of the following arithmetic progression :

a + b, a − b, a − 3b, ... to 22 terms

Find the sum of the following arithmetic progression :

 (x − y)², (x² + y²), (x + y)², ... to n terms

Find the sum of the following arithmetic progression :

\[\frac{x - y}{x + y}, \frac{3x - 2y}{x + y}, \frac{5x - 3y}{x + y}\], ... to n terms.

Find the sum of the following serie:

 2 + 5 + 8 + ... + 182

Find the sum of the following serie:

101 + 99 + 97 + ... + 47

Find the sum of the following serie:

(a − b)² + (a² + b²) + (a + b)² + ... + [(a + b)² + 6ab]

Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.

Find the sum of all integers between 50 and 500 which are divisible by 7.

Find the sum of all even integers between 101 and 999.

Find the sum of all integers between 100 and 550, which are divisible by 9.

Find the sum of the series:
3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + ... to 3n terms.