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log(10)10+log(10)10^(2)+ . . .+log(10)10...

`log_(10)10+log_(10)10^(2)+ . . .+log_(10)10^(n)`

A

prime number

B

composite number

C

a multiple of 10

D

none

Text Solution

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The correct Answer is:
B
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. The number ubrace(1111.....1)("119 times") is a:

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  2. The interior angles of a polygon are in A.P. If the smallest angle is ...

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  3. log(10)10+log(10)10^(2)+ . . .+log(10)10^(n)

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  4. The value of 0.1bar23 is:

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  5. If n is a positive integer, then ubrace(111...1)("2n times")-ubrace(22...

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  6. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

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  7. The odd positive intergers are arranged in a triangle as follows: ...

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  8. Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ...

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

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  10. If a, b, c are in H.P. , then (b+a)/(b-a)+(b+c)/(b-c)

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  11. Let a,b,c are in G.P. with common ratio r(0ltrlt1). Then a,2b,3c are i...

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  12. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

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  13. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

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  14. A sequence a1,a2,a3,.an of real numbers is such that a1=0, |a2|=|a1+1|...

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  15. Find the sum of the squares of first 50 natural numbers

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  16. A square is drawn by joining the mid points of the sides of a given sq...

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  17. An A.P. and a G.P. with positive terms have the same number of terms a...

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  18. An A.P. and a G.P. have all the terms positive. Also the first and sec...

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  19. 1^k + 2^k + 3^k + … + n^k is divisble by 1 + 2 +3 + … n for every n in...

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  20. If pth , qth, rth and sth terms of an A.P. and in G.P then p-q, q-r , ...

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