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PREMIERS PUBLISHERS-BINOMIAL THEOREMN,SEQUENCES AND SERIES -PROBLEMS FOR PRACTICE(Answer the following questions)
- Prove that 7^(n) - 6n - 1 is always divisible by 36.
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- Find the term independent of x in the expansion of (x^(2 +3/x)^(15)
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- Find the cofficient x^(9) in the expansion of (ax^(2) - b/(cx))^(12)
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- with usual notation find the sum C(0) + ""^(3)C(1) + ""^(5)C(2) + …+(2...
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- Which two consecutive terms in the expansion (1 +x)^(15) have equal c...
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- Insert 5 arthematical means between 3 and 15.
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- If p^(th) term of an AP is q and q^(th) term is p, find (p+q)^(th) ter...
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- Find 3 numbers in AP where sum is 15 and sum of their reciprocals is 7...
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- Find 3 numbers in GP where sum is 24 and product is 216.
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- Find sum(1)^(infty) 1/((k+1)(k+2))
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- Find the cofficient of x in the expansion of log(1/(1-5x+6x^(2)))
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- Find sqrt(x^(4)+4)-sqrt(x^(2)-4) when x is large.
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- Find sqrt(4+x^(2))-sqrt(4-x^(2)) when x is small.
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- Evaluate sum(k=1)^(10) (k^(2)-3k+5)
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- Prove that (2^((log)2 1/4x)-3^(log)(27)(x^2+1)^3-2x >)/(7^(4(log)(49)...
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