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The sum of : (x+ 2)^(n-1) + ( x+2) ^(n...

The sum of `:`
`(x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)^(2) + "......." + ( x+ 1)^(n-1)` equals `:`

A

`( x+2)^(n-2) - ( x+ 1) ^(n)`

B

`( x+2)^(n-1) - ( x+ 1) ^(n-1)`

C

`( x+2)^(n) - ( x+ 1) ^(n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
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  2. Let a(1), a(2),"…..",a(10) be in A.P. and h(1) ,h(2),"…….",h(10) be in...

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  3. The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)...

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  4. If x(1), x(2),"……….",x(n) are n non zero real numbers such that (x(1)^...

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  5. For 0 lt theta lt ( pi )/(2) , if x = sum(n=0)^(oo)cos^(2n) theta, y =...

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  6. If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...

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  7. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

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  11. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

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  12. Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...

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  13. Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N ...

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  14. For any odd integer n ge1, n^(3) - ( n - 1)^(3) + "….." + ( -1)^(n-1)1...

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  17. If I(n) = int(0)^(n) ( 1- sin 2nx)/( 1-cos 2n)dx then I(1) , I(2) , I(...

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  18. If p,q,r , three positive real numbers are in A.P., then the roots of ...

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  20. The value of sum(r=1)^(n) log ((a^(r ))/( b^(r-1))) is :

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