Consider the A.P. `2,5,8, 11 ,........ ,302.` Show that twice of the middle term of the above A.P. is equal to the sum of its first and last term.

In the A.P.1,7,13,19, ; 415 prove that the sum of the middle terms is equal to the sum of first and last terms.

In the A.P. 1,\ 7,\ 13 ,\ 19 ,\ dot,\ 415 prove that the sum of the middle terms is equal to the sum of first and last terms.

The sum of first 5 terms and first 15 terms of an A.P. are equal. Find the sum of its first 20 terms.

The sum of first 5 terms and first 15 terms of an A.P. are equal. Find the sum of its first 20 terms.

If the sum of first p terms of an A.P is equal to the sum of the first q terms , then find the first (p+q) terms .

The sum of first 8 terms and first 24 terms of an A.P. are equal. Find the sum of its 32 terms.

The sum of first 8 terms and first 24 terms of an A.P. are equal. Find the sum of its 32 terms.

The last term of an A.P. 2, 5, 8, 11, .... is .x. The sum of the terms of the A.P. is 155. Find the value of x.

In a sequence of 21 terms, the first 11 terms are in A.P. with common difference 2 and the last 11 terms are in G.P. with common ratio 2. If the middle term of the A.P. is equal to the middle term of the G.P., then the middle term of the entire sequence is

In a sequence of 21 terms the first 11 terms are in A.P. with common difference 2. and the last 11 terms are in G.P. with common ratio 2. If the middle tem of the A.P. is equal to the middle term of the G.P., then the middle term of the entire sequence is