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Three alternate terms of an arithmetic p...

Three alternate terms of an arithmetic progression are `x + y, x -y and 2x + 3y`, then `x` = _________.

A

`-y `

B

`-2y`

C

`-4y`

D

`-6y`

Text Solution

Verified by Experts

The correct Answer is:
D
The difference between `t_3 and t_1` is same as `t_5 and t_3`.
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PEARSON IIT JEE FOUNDATION-PROGRESSIONS-LEVEL 1
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  3. Three alternate terms of an arithmetic progression are x + y, x -y and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Number of rectangles in the following figure is .

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