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FULL MARKS-BINOMIAL THEOREM, SEQUENCES AND SERIES -Additional Questions Solved
- Find the 18^(th) and 25^(th) terms of the sequence defined by a(n)=...
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- Write the first six terms of the sequences given by (i) a(1)=a(2)...
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- An A.P. consists of 21 terms. The sum of the three terms in the middle...
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- Prove that the product of the 2^(nd) and 3^(rd) terms of an arithmetic...
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- If the p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c respecti...
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- If a, b, c are in A.P. and p is the A.M. between a and b and q is the ...
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- If x, y, z be respectively the p^(th), q^(th) and r^(th) terms of a G....
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- If the ratio of the sums of m terms and n terms of an A.P. be m^(2) : ...
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- Determine the number of terms of geometric progression {a(n)} if a(1)=...
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- The sum of first three terms of a G.P. is to the sum of the first six ...
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- Find the sum to n term the series : (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2...
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- Sum the series : (1+x)+(1+x+x^(2))+(1+x+x^(2)+x^(3))+…… up to n terms
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- Sum up to n terms the series : 7+77+777+7777+…..
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- If S(1), S(2), S(3) be respectively the sums of n, 2n, 3n, terms of a ...
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- If sum of the n terms of a G.P be S, their product P and the sum of th...
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- Find the root(3)(126) approximately to two decimal places.
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- Write the first four terms in the expansions of the following : (i...
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- Evaluate the following : (i) root(3)(1003) correct to 4 places of...
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- If x so large prove that sqrt(x^(2)+25)-sqrt(x^(2)+9)=(8)/(x) nearly.
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- Show that x^(n)=1+n(1-(1)/(x))+(n(n+1))/(1.2)(1-(1)/(x))^(2)+….
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