Test: Sequences And Series- 2 - JEE MCQ

An A.P. consists of n (odd) terms and its middle term is m. Then the sum of the A.P. is

The terms equidistant from a given term of an A.P. are multiplied together, then the difference of the successive terms of the series so formed are in

If the numbers a, b, c are in A.P., b, c, d are in G.P. and c, d , e are in H.P., then a, c, e are in

If x, y, z are in A.P., then (x + 2y – z) (x + z – y) (z + 2y – x) is equal to

If a, b , c are in A.P. and also 1/a, 1/b, 1/c are A. P., then

The sum of terms equidistant from the beginning and end in A.P. is equal to

Sum of first 5 terms of an A.P. is one fourth of the sum of next five terms. If the first term = 2, then the common difference of the A.P. is

The first, second and last terms of an A.P. are a, b and 2 a. The number of terms in the A.P. is

The sum of all the two-digit numbers is

Sum of all 2 digit odd numbers is

The number of terms common to the two A.P.s 2 + 5 + 8 + 11 + … + 98 and 3 + 8+ 13 + 18+ 23 + … + 198

The values of x for which the solutions of the equation cos θ = x, θ ≥ 0 form an A.P. are

If a ∈ R, then the roots of the equation tan x = a are in

The values of ‘a’ for which the roots of the equation sin x = a in A.P. are

The sum of first four terms of an A. P. is 56 and sum of last four terms is 112. If the first term is 11, then the number of terms is

The ratio of the 7^th to the (n –1)th mean between 1 and 31, when n arithmetic means are inserted between them, is 5 : 9. The value of n is

The sum of first n terms of the series 1 – 1 + 1 – 1 + … is

If a, b, c, d , e are in G. P., then e/c equals

The product of first n odd terms of a G.P. whose middle term is m is

The fourth term of a G. P. is 2, then product of first 7 terms is

If three positive numbers a, b, c are in G. P. then log a, log b, log c are in

The nth term of the sequence 5 + 55 + 555 + …. is