List of top Mathematics Questions on Sequence and series asked in JKCET

If $ 25^{th} $ term of an $ A.P. $ is $ 15 $ and if its $ 15^{th} $ term is $ 25 $ , then the $ 40^{th} $ term of the $ A.P. $ is

For what values of $x$, the numbers $ -1,\,x,-3/4 $ are in $GP$ ?

If $ {{S}_{n}} $ denotes the sum of first $n$ terms of $A.P.$ $ , $ such that $ \frac{{{S}_{m}}}{{{S}_{n}}}=\frac{{{m}^{2}}}{{{n}^{2}}}, $ then $ \frac{{{a}_{m}}}{{{a}_{n}}} $ is equal to

The sum of the series $ 5-\frac{10}{3}+\frac{20}{9}-\frac{40}{27}+.... $ is equal to

If the product of $n$ positive real numbers is one, then their sum is

The sum of $n$ terms of the series $ \frac{3}{{{1}^{2}}{{.2}^{2}}}+\frac{5}{{{2}^{2}}{{.3}^{2}}}+\frac{7}{{{3}^{2}}{{.4}^{2}}}+..... $ is equal to

The value of $ \sum\limits_{n=0}^{\infty }{\frac{{{n}^{2}}+4}{n\,!}} $ is equal to

If $ {{4}^{x}}={{16}^{y}}={{64}^{z}}, $ then

Four arithmetic means between $-10$ and $25$ are inserted. Then the $5^{th}$ term in the series is

The sum of the series $ \left( 1+\frac{{{({{\log }_{e}}\,n)}^{2}}}{2!}+\frac{{{({{\log }_{e}}n)}^{4}}}{4!}+... \right) $ is

If the third term of a $G.P.$ is $3$, then the product of its first $5$ terms is

If the sum to $2n$ terms of the $ A.P. \text{ }2,\text{ }5,\text{ }8,11,... $ is equal to the sum to $n$ terms of the $\text{ }57,\text{ }59,\text{ }61,\text{ }63,\text{ }...\text{ }, $ then $n$ =

If $p^{th}$ term of an arithmetic progression is $q$ and the $q^{th}$ term is $p$, then $10^{th}$ term is

If $ |a|<1, $ then $ 1+2a+3{{a}^{2}}+4{{a}^{3}}+..... $ is equal to

$ \frac{x-y}{x}+\frac{1}{2}{{\left( \frac{x-y}{x} \right)}^{2}}+\frac{1}{3}{{\left( \frac{x-y}{x} \right)}^{3}}+.... $ =

The condition that the roots of the equation $ {{x}^{3}}+3p{{x}^{2}}+3qx+r=0 $ are in the Arithmetic Progression is: