If the numbers $a,\;b,\;c,\;d,\;e$ form an $A.P.$, then the value of $a - 4b + 6c - 4d + e$ is
$1$
$2$
$0$
None of these
Insert $6$ numbers between $3$ and $24$ such that the resulting sequence is an $A.P.$
If the sum of three numbers in $A.P.,$ is $24$ and their product is $440,$ find the numbers.
$8^{th}$ term of the series $2\sqrt 2 + \sqrt 2 + 0 + .....$ will be
After inserting $n$, $A.M.'s$ between $2$ and $38$, the sum of the resulting progression is $200$. The value of $n$ is
The sums of $n$ terms of two arithmatic series are in the ratio $2n + 3:6n + 5$, then the ratio of their ${13^{th}}$ terms is