PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

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.

Find the sum of all those integers between 100 and 800 each of which on division by 16 leaves the remainder 7.

Solve: 

25 + 22 + 19 + 16 + ... + x = 115

Solve: 

1 + 4 + 7 + 10 + ... + x = 590.

How many terms are there in the A.P. whose first and fifth terms are −14 and 2 respectively and the sum of the terms is 40?

The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is 17. Find the progression.