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If the sum of the first 2n terms of the `A.P.2,5,8,…,` is equal to the sum of the first n terms of the `A.P.57,59,61,…,` then n equals

A

10

B

12

C

11

D

13

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. Consider an infinite geometric series with first term a and common rat...

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  3. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

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  4. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

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  5. 17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln ...

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  6. Let x be the arithmetic mean and y ,z be tow geometric means between a...

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  7. If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then ...

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  8. Let underset(r=1)overset(n)sumr^(4)=f(n)," then "underset(r=1)overset(...

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  9. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

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  10. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

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  11. If a(n+1)=(1)/(1-a(n))" for " n ge 1 and a(3)=a(1)," then "(a(2022))^(...

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  12. If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013, then f(-2013) e...

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  13. If sum(r=1)^(n)T(r)=(n(n+1)(n+2)(n+3))/(12) where T(r) denotes the rt...

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  14. The sum to n terms of the series 1/2+3/4+7/8+15/16+..... is given by

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  15. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

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  16. The sum to n terms of the series (1)/(sqrt(7)+sqrt(10))+(1)/(sqrt(10)+...

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  17. If S(n)=Sigma(r=1)^(n)t(r)=(1)/(6)n(2n^(2)+9n+13), then Sigma(r=1)^(n)...

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  18. The interior angles of a convex polygon are in A.P. If the smallest an...

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  19. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

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  20. 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^...

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