English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Find the 8th term from the end of the AP 7, 10, 13, ..., 184.

Find the 6th term form the end of the AP 17, 14, 11, ..., (–40).

Is 184 a term of the AP 3, 7, 11, 15, ...?

Is –150 a term of the AP 11, 8, 5, 2, ...?

Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ... is the first negative term?

The 7th term of an AP is –4 and its 13th term is –16. Find the AP.

The 4th term of an AP is zero. Prove that its 25th term is triple its 11^th term.

The 8^th term of an AP is zero. Prove that its 38^th term is triple its 18^th term.  

The 4th term of an AP is 11. The sum of the 5th and 7th terms of this AP is 34. Find its common difference.

The 9th term of an AP is –32 and the sum of its 11th and 13th terms is –94. Find the common difference of the AP. 

Determine the nth term of the AP whose 7th term is –1 and 16th term is 17.

If 4 times the 4^th term of an A.P. is equal to 18 times its 18^th term, then find its 22^nd term.

If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.

Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.

The 19th term of an AP is equal to 3 times its 6th term. If its 9th term is 19, find the AP.

If the pth term of an AP is q and its qth term is p then show that its (p + q)th term is zero.

The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is (a + l).

How many two-digit numbers are divisible by 6?

How many two-digits numbers are divisible by 3?