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1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+...

`1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+`

A

2

B

3

C

4

D

6

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B
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For teaching the concept of probability, Mrs. Verma decided to use two dice. Shet took a pair of die and write all the possible outcomes on the blackboard. All possible outcomes wave: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6) (2,1), (2,2), (2,3), (2,4), (2,5), (2,6) (3,1), (3,2), (3,3), (3,4), (3,5), (3,6) (4,1), (4,2), (4,3), (4,4), (4,5), (4,6) (5,1), (5,2), (5,3), (5,4), (5,5), (5,6) (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) The probability that 4 will not come up on either of them is

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If 1^(3) + 2^(3) + 3^(3) + 4^(3) + ……….. + 10^(3) =

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21, 5/3, 10/3) (B) (2,10,4) (C) (-3,3,6) (D) (5,7,-2)

MOTION-SEQUENCE & SERIES -Exercise -4 Level -I Previous Year /JEE Main
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  2. If p and q are positive real numbers such that p^2+q^2=1 , then the ma...

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  3. the sum of the series 1/(2!)-1/(3!)+1/(4!)-....... upto infinity is

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  4. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

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  5. A person is to count 4500 currency notes. Let an denote the number o...

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  6. Statement 1 The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+"……."+(...

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  7. If 100 times the 100^(t h) term of an AP with non zero common diffe...

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  8. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

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  9. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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  10. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

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  11. Three positive numbers form an increasing GP. If the middle term in th...

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  12. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

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  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  14. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

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  15. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

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  16. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

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  17. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

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