Let underset(r=1)overset(n)sumr^(4)=f(n)...

Let `underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(n)sum(2r-1)^(4)` is equal to

`f(2n)-16 f(n)`

`f(2n)-7f(n)`

`f(2n-1)-8f(n)`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROGRESSIONS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
PROGRESSIONS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
PROGRESSIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
PROBABILITY
MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

underset(r=1)overset(n)sum ( r )/(r^(4)+r^(2)+1) is equal to

Let sum_(r=1)^(n)r^(4)=f(n)," then " sum_(r=1)^(n) (2r-1)^(4) is equal to

If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C_(r)) , then underset(r=0)overset(n)(sum)(r)/(.^(n)C_(r)) is equal to

If underset(i=1)overset(n)sum cos^(-1) alpha_(i)=0," then "underset(i=1)overset(n)sum alpha_(i)=

let underset(r=0)overset(2010)(sum)a_(r)x^(r)=(1+x+x^(2)+x^(3)+x^(4)+x^(5))^(402) and underset(r=0)overset(2010)(sum)a_(r)=a, then the value of ((underset(r=0)overset(2010)(sum)r.a_(r))/(underset(r=0)overset(2010)(sum)a_(r))) is equal to____.

Let sum_(r=1)^(n)(r^(4))=f(n). Then sum_(r=1)^(n)(2r-1)^(4) is equal to :

Let sum_(r=1)^(n) r^(6)=f(n)," then "sum_(n=1)^(n) (2r-1)^(6) is equal to

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)

Let x be the arithmetic mean and y ,z be tow geometric means between a...
Text Solution
|
If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then ...
Text Solution
|
Let underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(...
Text Solution
|
The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...
Text Solution
|
If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...
Text Solution
|
If a(n+1)=(1)/(1-a(n))" for " n ge 1 and a(3)=a(1)," then "(a(2022))^(...
Text Solution
|
If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013, then f(-2013) e...
Text Solution
|
If sum(r=1)^(n)T(r)=(n(n+1)(n+2)(n+3))/(12) where T(r) denotes the rt...
Text Solution
|
The sum to n terms of the series 1/2+3/4+7/8+15/16+..... is given by
Text Solution
|
let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...
Text Solution
|
The sum to n terms of the series (1)/(sqrt(7)+sqrt(10))+(1)/(sqrt(10)+...
Text Solution
|
If S(n)=Sigma(r=1)^(n)t(r)=(1)/(6)n(2n^(2)+9n+13), then Sigma(r=1)^(n)...
Text Solution
|
The interior angles of a convex polygon are in A.P. If the smallest an...
Text Solution
|
If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...
Text Solution
|
If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...
Text Solution
|
If the sides of a right-angled triangle are in A.P., then the sines of...
Text Solution
|
If exp (sin^2x+sin^4x +sin^6 x........upto oo)loge 2 satisfies the equ...
Text Solution
|
Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...
Text Solution
|
If exp { (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log(e) 16 ...
Text Solution
|
If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...
Text Solution
|