Arithmetic Progressions Quiz 13

Sum to n terms of $1^2+3^2+5^2+.......$ is

The seventh term in the sequence $1 , \frac{-1}{2}, \frac{1}{4}, ..........$

Sum to ‘n’ terms of $2^3+4^3+6^3+ .......$ is

The common ratio of G.P. $1- \frac{1}{3}+\frac{1}{9}-\frac{1}{27}+........$ is

$1 + (0.04) + (0.04)^2 + ……. \infty =$

If $|x|$ < $1,y=x-x^2+x^3-x^4+.......\infty$, then the value of x in terms of y is

Coefficient of $x^2$ in (x + 1) (x + 2) (x + 3) (x + 4) (x + 5) is …………

If the sum of the three numbers in a G.P is 26 and the sum of products taken two at a time is 156, then the numbers are

If the sum of three numbers in G.P is $\frac{7}{64}$ and the product of the extremes is $\frac{1}{1024}$ then the numbers are

If $p^{th} ,q^{th} ,r^{th}$  terms of a G.P are a, b, c then Σ(q – r) log a =