Class 11

Math

Algebra

Sequences and Series

Prove that $[n+1/2]_{n}>(n!)˙$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

If A and G be A.M. and GM., respectively between two positive numbers, prove that the numbers are $A±(A+G)(A−G) $.

For what value of x, the number $−72 ,x,−72 $are in G.P.?

Find the sum to n terms of the series, whose $n_{th}$terms is given by : $n(n+1)(n+4)$

Sum of the first p, q and r terms of an A.P are a, b and c, respectively.Prove that $pa (q−r)+qb (r−p)+rc (p−q)=0$

Find the sum of first n terms and the sum of first 5 terms of the geometric series 1 + $32 $+$94 $$+˙˙˙$

Find the sum of first 24 terms of the list of numbers whose nth term is given by $a_{n}=3+2n$

Determine the AP whose $3_{rd}$term is 5 and the $7_{th}$term is 9.

Which term of the following sequences:(a) $2,22 ,4,$. . . is 128? (b) $3 ,3,33 ,$. . . is 729?(c) $31 ,91 ,271 ,$. . . is $196831 ?$