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If x = underset(n-0)overset(oo)sum a^(n)...

If `x = underset(n-0)overset(oo)sum a^(n), y= underset(n =0)overset(oo)sum b^(n), z = underset(n =0)overset(oo)sum C^(n)` where a,b,c are in A.P. and `|a| lt 1, |b| lt 1, |c| lt 1`, then x,y,z are in

A

A.P.

B

G.P.

C

H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. If x = 1 + a + a^(2) + a^(3) +…"to" oo (|a| lt 1) and y = 1 b + b^(2) ...

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  2. If x is the first term of a G.P. with infinite number of terms and S(o...

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  3. If x = underset(n-0)overset(oo)sum a^(n), y= underset(n =0)overset(oo)...

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  4. Given that 0 lt x lt (pi)/(4) and (pi)/(4) lt y lt (pi)/(2) and sum(k ...

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  5. If x = 1 + y + y^(2) + y^(3)+…"to"oo, then y is

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  6. (3)/(4)-(5)/(4^(2))+(3)/(4^(3))-(5)/(4^(4))+(3)/(4^(5))-(5)/(4^(6))+.....

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  7. If {:(x = a + a//r + a//r^(2)+......oo),(y = b - b//r + b//r^(2)-........

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  8. If S(1), S(2),…S(lambda) are the sums of infinite G.P.'s whose first t...

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  9. The vlaue of 9^(1//3)xx9^(1//9)xx9^(1//27)xx………oo is :

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  10. Find the value of (320(32)^(1//6)(32)^(1//36)oodot

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  11. The value of 2.bar(357), is

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  12. The value of 0.4bar(23) is

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  13. An equilateral triangle is drawn by joining the mid-points of a given ...

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  14. If the expression exp {1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log(e...

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  15. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

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  16. In an A.P., (S(p))/(S(q)) = (p^(2))/(q^(2)), p ne q, then (T(6))/(T(21...

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  17. If ||a| lt 1 "and " |b| lt 1 then the sum of the series 1+(1+a)b+(1+a+...

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  18. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

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  19. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

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  20. The value of (0*16)^(log(2*5)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo))...

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