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Find t5 and t6 of the arithmetic progres...

Find `t_5 and t_6` of the arithmetic progression `0, (1)/(4), (1)/(2), (3)/(4),….`.

A

`1, (5)/(4)`

B

`(5)/(4), 1`

C

`1, (7)/(4)`

D

`(7)/(4), 1`

Text Solution

Verified by Experts

The correct Answer is:
A
The `n`th term in AP `= t_n = a+(n-1)d`.
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PEARSON IIT JEE FOUNDATION-PROGRESSIONS-LEVEL 1
  1. Find t5 and t6 of the arithmetic progression 0, (1)/(4), (1)/(2), (3)/...

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  2. If tn = 6n + 5, then t(n+1) =.

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  3. Which term of the arithmetic progression 21, 42, 63, 84, … is 420 ?

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  4. Find the 15th term of the arithmetic progression 10, 4, -2, ….

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  5. If the kth term of the arithmetic progression 25, 50, 75, 100, … is 10...

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  6. The sum of the first 20 terms of an arithmetic progression whose first...

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  7. Two arithmetic progressions have equal common differences. The first t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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