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The value of 9^(1//3)xx9^(1//9)xx9^(1//2...

The value of `9^(1//3)xx9^(1//9)xx9^(1//27)xx……` to `oo` is

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Find the value of 9^(1/3), 9^(1/9). 9^(1/27)...up to oo.

Find the value of 9^(1/3). 9^(1/9). 9^(1/27)...up to oo.

If y= x^(1/3).x^(1/9).x^(1/27)...oo then y=?

Evaluate : 3^(3)xx(243)^(-(2)/(3))xx9^(-(1)/(3))

Show that the square root of 3^((1)/(2))xx9^((1)/(4))xx27^((1)/(8))xx81^((1)/(16))xx... to infinity is 3. [ Note : When we are asked to find the square root of a number, it is presumed that we have to find the principal square root.] Find the sum of the series (1)/(2)+(2)/(4)+(3)/(8)+(4)/(10)+...oo and substitute in (1).]

Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/(9xx11)+ is pi//8 b. pi//6 c. pi//4 d. pi//36

(-2)xx(-4)xx(-9)

Find the value of x if: (-9)/(16)xx(4)/(3)=(x)/(2)

If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/27) ...... ad inf and z= sum_(r=1)^oo (1+i)^-r then , the argument of the complex number w = x+yz is

RESONANCE ENGLISH-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
  1. In the following two A.P. how many terms are identical ? 2,5,8,11… ...

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  2. The value of 9^(1//3)xx9^(1//9)xx9^(1//27)xx…… to oo is

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  3. The sum of 10 terms of the series 0.7+0.77+0.777+………is -

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  4. The n ^(th) terms of the series 1 + (4)/(5) + (7)/(5 ^(2)) + (10)/(5 ^...

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  5. The sum of infinite terms of the series 5 - 7/3 + (9)/(3 ^(2)) - (11)/...

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  6. The sum of the series 1.2 + 2.3+ 3.4+…….. up to 20 tems is

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  7. sum (r = 2) ^(oo) (1)/(r ^(2) - 1) is equal to :

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  8. If (1 ^(2) - t (1)) + (2 ^(2) - t (2)) + ......+ ( n ^(2) - t (n)) =(...

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  9. If x gt 0, then the expression (x ^(100))/( 1 + x + x ^(2) +x ^(3) + ....

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  10. Given the sequence a, ab, aab, aabb, aaabb,aaabbb,…. Upto 2004 terms, ...

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  11. The first two terms of a sequence are 0 and 1, The n ^(th) terms T (n)...

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  12. Consider the following sequence :a (1) = a (2) =1, a (i) = 1 + minimum...

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  13. The sum of (1)/( 2sqrt1+1 sqrt2 ) + (1)/( 3 sqrt2 + 2 sqrt3 ) + (1)/(...

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  14. If f (x) + f (1 - x) is equal to 10 for all real numbers x then f ((1)...

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  15. For some natural number 'n', the sum of the first 'n' natural numbers ...

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  16. An arithmetical progression has positive terms. The ratio of the diffe...

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  17. The 12 numbers, a (1), a (2)………, a (12) are in arithmetical progressio...

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  18. Each term of a sequence is the sum of its preceding two terms from the...

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  19. n is a natural number. It is given that (n +20) + (n +21) + ......+ (n...

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  20. In a G.P. of real numbers, the sum of the first two terms is 7. The su...

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