Question and Answers Forum
AlgebraQuestion and Answers: Page 250
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Question and Answers Forum |
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AlgebraQuestion and Answers: Page 250 |
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| 6^(273) +8^(273) :49 prove the division |
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| Let {a_n } be a sequence such that a_1 = 2, a_(n + 1) = ((3a_n + 4)/(2a_n + 3)), n ≥ 1, find a_n |
| let p(x) be a polynomial function of (n−1)^(th) degree and p(k)=k for k=1,2,3,...,n find p(0) and p(n+1). example: n=10 |
| ∀ a,b>0 , a^2 +b^2 =1 prove that ((1/a)+(1/b))((b/(a^2 +1))+(a/(b^2 +1)))≥(8/3) |
| Find the nth term of the sequence {a_n } such that ((a_1 + a_2 + ... + a_n )/n) = n + (1/n) (n = 1, 2, 3, ...) |
| Find the nth term of the sequence {a_n } such that a_1 = 1, a_(n + 1) = (1/2)a_n + ((n^2 − 2n − 1)/(n^2 (n + 1)^2 )) (n = 1, 2, 3, ...) |
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| solve (√(6−x)) = 6−x^2 |
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| Find Σ_(n=1) ^∞ (1/((3n)!))=? |
| Find the value of (√(45−(√(2000)) )) + (√(45+(√(2000)))) |
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| if y^2 = ax^2 + bx + c Show that: y (d^3 y/dx^3 ) + 3 (dy/dx) (d^2 y/dx^2 ) = 0 |
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| Given p,q∈R_+ ^∗ −{−1}/(1/p)+(1/q)=1 show that; ∀a,b ∈R ab≤(a^p /p)+(b^q /q) |
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