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The sum of the first 51 terms of the ari...

The sum of the first 51 terms of the arithmetic progression whose 2nd term is 2 and 4th term is 8, is ________.

A

3774

B

3477

C

7548

D

7458

Text Solution

Verified by Experts

The correct Answer is:
A

Find `a` and `d` using the given data and use the formula to find `S_n` of AP.
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PEARSON IIT JEE FOUNDATION-PROGRESSIONS-LEVEL 1
  1. Two arithmetic progressions have equal common differences. The first t...

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  2. If a, b and c are in arithmetic progression, then b+ c, c + a and a +...

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  3. The sum of the first 51 terms of the arithmetic progression whose 2nd ...

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  4. Three alternate terms of an arithmetic progression are x + y, x -y and...

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  5. Find the 15th term of the series 243, 81, 27, …

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  6. If t8 and t3 of a geometric progression are (4)/(9) and (27)/(8) resp...

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  7. If tn = 3^(n+1), then S6 - S5 = .

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  8. Find the sum of the first 10 terms of geometric progression 18, 9, 4.5...

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  9. If the 3rd, 7th and 11th terms of a geometric progression are p, q and...

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  10. Evaluate sum(3+2^(r )), where r=1, 2, 3, …, 10.

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  11. Find the sum of the series (27)/(8) + (9)/(4) + (3)/(2) + … oo

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  12. If 3x -4, x +4 and 5x +8 are the three positive consecutive terms of ...

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  13. Find the geometric mean of the first twenty five powers of twenty five...

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  14. Find the sum of 3 geometric means between (1)/(3) and (1)/(48) ( r gt ...

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  15. If the second and the seventh terms of a Harmonic Progression are (1)/...

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  16. The 10th term of harmonic progression (1)/(5), (4)/(19), (2)/(9), (4)/...

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  17. If the ratio of the arithmatic mean and the geometric mean of two posi...

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  18. If A, G and H are AM, GM and HM of any two given positive numbers, th...

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  19. Find the least value of n for which th sum 1+2 + 2^(2) +… to n term...

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  20. Find the HM of (1)/(7) and (1)/(12).

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