Series Test - 5...

The 6^th and 17^th terms of an A.P. are 19 and 41 respectively. Then the 40^th term is

Find the maximum value of the sum of the following series:

44, 40, 36, 32, ...

The sums of n terms of two A.P. are in the ratio . The ratio of their sixth term is

There are four terms in an A.P. The sum of the two means is 16 and the product of the two extremes is 28.
Find the greatest term.

If the p^th, q^th and r^th terms of an A.P. are x, y and z respectively, then x(q - r) + y(r - p) + z(p - q) is

If m^th and n^th terms of an A.P. are n and m respectively, then the (m + n)^th term is

Find the sum of all the positive terms of A.P. 19, 18, 17, ….

The nth term of the series is 2n - 5. Find the ratio of the sum of the first five terms to the next five terms.

The ratio of sum of n terms of two arithmetic progressions is (2n + 3) : (4n + 5). Find the ratio of their 10^th term.

If k +2, 4k - 6 and 3k - 2 are three consecutive terms of an A.P., then k =

If the p^th term of an A.P. is q and the q^th term is p, then the r^th term of the A.P. is

If x, y, z are in A.P., find the value of (x + 2y - z)(2y + z - x)(z + x -y).

If a, b, c and d are in G.P., then (a - c)² + (b -c)² + (b - d)² is equal to

If the 5^th, 8^th and 11^th terms of a G.P. are p, q and s respectively, then

+ + +……

If x, 2x + 2, 3x + 3 are in a GP, then the fourth term is

If the sum of the series to is a finite number, then

If x, y, z are in A.P., then , and are in

If , , are in HP, then x, y, z, are in

If p^th term of an H.P is qr and q^th term is pr, then r^th term of the H.P is