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The sum of the n terms of the series 1+(...

The sum of the `n` terms of the series `1+(1+3)+(1+3+5)+...` is

A

`[(n(n+1))/(2)]^2`

B

`n^2`

C

`(n(n+1)(2n+1))/(6)`

D

none of these

Text Solution

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The correct Answer is:
C
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ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-EXERCISE LEVEL-1
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  2. The value of 3^(1//3) . 9^(1//18) . 27^(1//81) …. ∞

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  3. The sum of the n terms of the series 1+(1+3)+(1+3+5)+... is

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  4. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

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  5. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

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  6. The sum of integers from 113 to 113113 which are divisible by 7 is :

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  7. The sum of n terms of a progression is 3n^2 + 5 . The number of terms ...

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  8. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  9. The sum of first n terms of the series 1/2 + 3/4 + 7/8 + (15)/(16) + …...

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  10. The sum of all two digit numbers which when divided by 4 , yield unity...

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  11. If n arithmetic means are inserted between two quantities a and b , th...

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  12. The product of n geometric means between two given numbers a and b is ...

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  13. If a1, a2 ,a3 ,......a(24 are in arithmetic progression and a1 +a5 +...

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  14. The sum of n terms of the series , where n is an even number 1^2 - 2...

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  15. underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8)...

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  16. The cubes of the natural numbers are grouped as 1^3 , (2^3, 3^3) , (4^...

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  17. Three non-zero real numbers form an A.P. and the squares of these numb...

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  18. If three positive real numbers a,b,c, are in A.P. such that a*b*c=4 , ...

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  19. Three numbers form an increasing G.P. . If the middle number is double...

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  20. What is the angle of elevation of the sun from the top of a pillar, wh...

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