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If 1+2 +3 + ….. + n = k then 1^(3) + 2^(...

If `1+2 +3 + ….. + n` = k then `1^(3) + 2^(3) + ….. + n^(3)` is equal to……….

A

`k^(2)`

B

`k^(3)`

C

`(k(k+1))/2`

D

`(k+1)^(3)`

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The correct Answer is:
A
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FULL MARKS-NUMBERS AND SEQUENCES-ADDITIONAL QUESTION SOLVED
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  2. The 8th term of the sequence 1,1,2,3,…… is ……….

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  3. The next term of 1/20 in the sequence 1/2,1/6, 1/12, 1/20 is……….

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  4. If a, b, c, l,m are in A.P, then the value of a-4b + 6c -4l +m is.

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  5. If a,b,c are in A.P. then (a-b)/(b-c) is equal to ………….

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  6. If the n^(th) term of a sequence is 100n + 10, then the sequence i s ...

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  7. If a(1),a(2),a(3),……….. Are in A.P. such that a(4)/a(7) = 3/2, then th...

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  8. If the sequence a(1),a(2),a(3),…….. Is an A.P., then the sequence a(5)...

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  9. If k + 2 ,4k - 6, 3k - 2 are the 3 consecutive terms of an A.P, then t...

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  10. If a, b, c, I, m, n are in A.P, then 3a + 7, 3b + 7, 3c + 7, 3l + 7, 3...

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  11. If the third term of a G.P. is 2, then the product of first 5 terms i ...

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  12. If a,b,c are in G.P. then (a-b)/(b-c) is equal to ………….

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  13. If x, 2x + 2, 3x + 3, are in G.P., then 5x, l0x + 10, 15x + 15, form ....

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  14. The sequence, -3, -3, -3,…….. Is………

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  15. If the product of the first four consecutive terms of a G.P is 256 and...

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  16. In a G.P.t(2)=(3)/(5) and t(3)=(1)/(5). The the common ratio is .

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  17. If x ne 0, then 1+ secx + sec^(2)x + sec^(3)x + sec^(4)x + sec^(5)x is...

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  18. If the nth term of an A.P. is t(n) =3 -5n, then the sum of the first n...

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  19. The common ratio of the G.P. a^(m-n), a^(m), a^(m+n) is ……………

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  20. If 1+2 +3 + ….. + n = k then 1^(3) + 2^(3) + ….. + n^(3) is equal to……...

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