Mathematics Tes...

The value of the expression \(x^{2}+\frac{1}{x^{2}+1}\) for \(x \in R\) is

Six numbers are in AP such that their sum is 3. The first term is 4 times the third term. Then, the fifth term is

If |a|,|b|,|c|<1 and a,b,cϵA.P. then (1+a+a²+...∞),(1+b+b²+...∞),(1+c+c²+...∞) are in

Suppose a, b, c are in AP and a²,b²,c₂ are in GP and a

If a₁,a₂,a₃... are positive numbers in GP then loga_n,loga_n+1,loga_n+2 are in

The value of x for which log₃(2^1−x+3),log₉4 and log₂₇(2x−1)³ form an A.P. is

Find the sum of the first 5 terms of an arithmetic progression in which the 6^th term is 14 and the 11^th term is 22.

There is a sequence of 4 positive integer terms, the first three are in AP. the last three arein G. P. where the 4th term exceeds the first term by 30, then the sum of all the terms is

If a,b,c are in A.P as well as in G.P, then