Let `a_n`
be the `n^(t h)`
term of an A.P. If
`sum_(r=1)^(100)a_(2r)=alpha
& sum_(r=1)^(100)a_(2r-1)=beta,`
then the common difference of the A.P. is -
Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)=alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is
sum_(r=1)^n(2r+1)=...... .
If the sum of n terms of an AP is given by S_(n) = 3n+ 2n^(2) , then the common difference of the AP is
Evaluate sum_(r=1)^(n)rxxr!
If sum_(r=1)^(n)T_(r)=(n)/(8)(n+1)(n+2)(n+3)," find "sum_(r=1)^(n)(1)/(T_(r)) .
Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is
If t_(1)=1,t_(r )-t_( r-1)=2^(r-1),r ge 2 , find sum_(r=1)^(n)t_(r ) .
A person is to count 4500 currency notes. Let a_(n) denotes the number of notes he counts in the nth minute. If a_(1)=a_(2)="........"=a_(10)=150" and "a_(10),a_(11),"......", are in AP with common difference -2 , then the time taken by him to count all notes is
If the sum of n terms of an A.P. is 3n + 2n^(2) , find the common difference
If alpha_(1), alpha_(2), alpha_(3), beta_(1), beta_(2), beta_(3) are the values of n for which sum_(r=0)^(n-1)x^(2r) is divisible by sum_(r=0)^(n-1)x^(r ) , then the triangle having vertices (alpha_(1), beta_(1)),(alpha_(2),beta_(2)) and (alpha_(3), beta_(3)) cannot be
