If n is even number, then median is the mean of (n/2) th and (n/2 - 1) th observation.

If in the binomial expansion of (a+x) ^(n) where n is a natural number, the coefficients of 5 th, 6 th and 7 th terms are in A.P., then n is equal to-

If n is even then the expression n(n^(2)+20) is divisible by the numbers, are -

Given that bar(x) is the mean and sigma^(2) is the variance of n observation x_(1), x_(2), …x_(n). Prove that the mean and sigma^(2) is the variance of n observations ax_(1),ax_(2), ax_(3),….ax_(n) are abar(x) and a^(2)sigma^(2) , respectively, (ane0) .

If r gt 1, n gt2 are positive integers and the coefficients of (r+2) th and 3rd terms in the expansion of (1+x)^(2n) are equal, then n is equal to-

If between 1 and 1/31 there are n H.M's and ratio of 7th and (n-1)^th harmonic means is 9:5, then values of n is

Solve: a_n = (3n^2)/2 + (5n)/2 Find the 25th term.

Determine : the 11th term in the expansion of ((x)/(2)-3y)^(n) .

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

Write True or False If n is even then (n+1)/2 th term is the median.

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these