Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

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.

The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.

The first term of an A.P. is 2 and the last term is 50. The sum of all these terms is 442. Find the common difference.

The number of terms of an A.P. is even; the sum of odd terms is 24, of the even terms is 30, and the last term exceeds the first by \[10 \frac{1}{2}\] , find the number of terms and the series. 

If 12th term of an A.P. is −13 and the sum of the first four terms is 24, what is the sum of first 10 terms?

If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of first 20 terms?