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- A GP has common ratio 3, last term 486, if the sum of its terms is 728...
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- If (1+2x+3x^2)^(10)=a0+a1x+a2x^2+.....+a(20)x^(20),t h e na1 equals a....
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- Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...
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- For which of the following values of x ,5t h term is the numerically g...
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- For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...
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- If the middle term in the expansion of (x/2+2)^8 is 1120, then find t...
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- If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , t h e n C0-(C0+C1)+(C0+C1+C2)-(C0...
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- In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,
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- The value of .^(n)C(1)+.^(n+1)C(2)+.^(n+2)C(3)+"….."+.^(n+m-1)C(m) is ...
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- If (1+x)^n=C0+C1x+C2 x^2+...+Cn x^n , n in N ,then C0-C1+C2-.....+(-1...
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- The 10th term of (3-sqrt((17)/4+3sqrt(2)))^(20) is (a) a irrational nu...
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- Find the geometric mean between2a and 8a^3
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- Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....
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- The middle term in the expansion of (x/2+2)^8 is 1120, then x in R is...
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- The sum of three numbers of GP is 39/10 and their product is 1. Find...
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- The first two term of a G.P are 125, and 25 respectively. Find the 5t...
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- If underset(r=0)overset(n)sum((r+2)/(r+1)).^(n)C(r)=(2^(8)-1)/(6). the...
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- Let f(x) = a(0) + a(1)x + a(2)x^(2) + "…." + a(n)x^(n) + "…." abd (f(x...
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- If (1+x^(2))^(n) = underset(r=0)overset(n)suma(r)x^(r )= (1+x+x^(2)+x^...
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- The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...
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