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RESONANCE-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
- The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...
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- Find the sum of integers from 1 to 100 that are divisible by 2 or 5...
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- The sum of three numbers in A.P. is 27, and their product is 504, find...
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- The friends whose ages from a G.P. divide a certain sum of money in pr...
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- The roots of the equation x^(5)-40x^(4)+ax^
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- Let T(n) denotes the n ^(th) term of a G.P. with common ratio 2 and (l...
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- If a,b,c are in A.P. and if (b-c) x^(2)+(c-a) x+(a-b)=0 and 2 (c+a) x^...
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- Along a road lies an odd number of stones placed at intervals of 10m. ...
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- Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...
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- If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...
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- If n is any positive integer, then find the number whose square is und...
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- Find the sum of infinite terms of the series : (3)/(2.4) + (5)/(2.4.6)...
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- If S(1),S(2),S(3),"…….",S(2n) are the same of infinite geometric serie...
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- Find the sum to n terms of the series :1^2+(1^2+2^2)+(1^2+2^2+3^2)+dot...
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- Let a (l) = (7)/(4) ((2)/(3)) ^( l -1), j in N.lf b (1) = a (j) ^(2)...
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- The sequence 9, 18, 27, 36, 45, 54,….. consists of successive mutiple ...
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- As show in the figure , the five circles are tangent to one another co...
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- The arithmetic mean of the nine number in the given set {9,99,999, ......
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- Let a sequence whose n ^(th) term is {a (n)} be defined as a (1) = 1...
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- If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...
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