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If a,b,c are in A.P., then 2^(ax+1),2^(b...

If a,b,c are in A.P., then `2^(ax+1),2^(bx+1),2^(cx+1), x in R`, are in

A

A.P.

B

G.P. if `x lt 0`

C

G.P. if `x gt 0`

D

G.P. for all `x ne 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST
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  5. If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in

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  6. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

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  7. If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in

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  8. For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...

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  12. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

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  13. If the sum of first n terms of an AP is cn^(2), then the sum of square...

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  14. A man saves Rs. 200 in each of the first three months of his service. ...

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  15. If 100 times the 100th term of an AP with non-zero common difference e...

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  16. Let a(1),a(2),a(3), . . . be a harmonic progression with a(1)=5anda(20...

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  17. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  18. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

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