PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

Which term of the A.P. 4, 9, 14, ... is 254?

Is 68 a term of the A.P. 7, 10, 13, ...?

Is 302 a term of the A.P. 3, 8, 13, ...?

Which term of the sequence 24, \[23\frac{1}{4,} 22\frac{1}{2,} 21\frac{3}{4}\]....... is the first negative term?

Which term of the sequence 12 + 8i, 11 + 6i, 10 + 4i, ... is purely real ?

Which term of the sequence 12 + 8i, 11 + 6i, 10 + 4i, ... is purely imaginary?

How many terms are there in the A.P. 7, 10, 13, ... 43 ?

How many terms are there in the A.P.\[- 1, - \frac{5}{6}, -\frac{2}{3}, - \frac{1}{2}, . . . , \frac{10}{3}?\] 

The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.

The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.

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

The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.

In a certain A.P. the 24th term is twice the 10th term. Prove that the 72nd term is twice the 34th term.

If (m + 1)th term of an A.P. is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.

Find the 12th term from the following arithmetic progression:

 3, 5, 7, 9, ... 201

Find the 12th term from the following arithmetic progression:

3, 8, 13, ..., 253

Find the 12th term from the following arithmetic progression:

1, 4, 7, 10, ..., 88

The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.