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The value of the infinite product 6^((1)...

The value of the infinite product `6^((1)/(2))xx6^((1)/(4))xx6^(1/8)xx6^(1/16)xx`. . . . Is
(a)6
(b)36
(c)216
(d)infinite

A

6

B

36

C

216

D

`oo`

Text Solution

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The correct Answer is:
D
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PUNEET DOGRA-SEQUENCE AND SERIES-PREVIOUS YEAR QUESTIONS
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  2. What is the sum of the series 0.5+0.55+0.555+. . .+n terms ?

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  3. The value of the infinite product 6^((1)/(2))xx6^((1)/(4))xx6^(1/8)xx6...

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  4. If the nth term of an AP is (3+n)/(4), then the sum of first 105 terms...

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  7. The sum of an infinite GP is x and the common ratio r is such that |r|...

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  10. Let Sn denote the sum of the first n terms of an AP S(2n)=3Sn Then t...

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  11. Let f(x)=ax^(2)+bx+c such that f(1)=f(-1) and a,b,c are in Arithmetic ...

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  12. Let f(x)=ax^(2)+bx+c such that f(1)=f(-1) and a,b,c are in Arithmetic ...

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  13. Let f(x)=ax^(2)+bx+c such that f(1)=f(-1) and a,b,c are in Arithmetic ...

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  14. If the numbers n-3,4n-2,5n+1 are in AP, what is the value of n? (a)1 ...

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  19. What is the nth term of the sequence 1,5,9,13,17. . .. ?

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  20. What does the series 1+3^(-1//2)+3+(1)/(3sqrt3)+ . . .represent ?

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