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underset("n-digit")ubrace((666…6)) + und...

`underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8))` is equal to :

A

`14(n^2-1)`

B

`48/9(10^(2n)-1)`

C

`14/9(10^n-1)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  2. The sum of n terms of the series , where n is an even number 1^2 - 2...

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

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

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

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

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

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  8. If a(1),a(2),a(3)(a(1)gt0) are three successive terms of a GP with com...

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  9. Let an be the nth term of an A.P. and a7=22, trhen the value of the co...

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  10. If the A.M of two positive numbers a and b, (a gt b) is twice their G....

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  11. Find the number of common terms to the two sequences 17,21,25,...,417 ...

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  12. The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 +...

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  13. Let Tr be the rth term of an A.P., for r=1,2,3, If for some positive...

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  14. Find the sum to n terms of the series 3+6 + 10 + 16 + …

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  15. In a certain colony of cancerous cells , each cell divides into two ev...

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  16. Divakar and Subhank set out to meet each other from Delhi and Saharanp...

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  17. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

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  18. If a, b, c are in H.P, then the value of (1/(b) + 1/(a) - 1/(c)) (1/(...

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  19. Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

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  20. What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?

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