Sequences and S...

If the numbers a, b, c, d, e form an A.P. then the value of a –4b + 6c –4d + e is

The sum of all non-reducible fractions with the denominator 3 lying between the numbers 5 and 8 is

The next term of the sequence 1, 1, 2, 4, 7, 13,…. Is

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