Let a1, a2, a3,.. be in an A.P. such that121a2k-1=- a1, a1 # 0. IfLk=1 ak = O, then n is: || Let's

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Let \[{a_1},{a_2},{a_3},........\] be in an A.P. such that \[\sum\limits_{k = 1}^{12} {{a_{2k - 1}}} Let \[{a_1},{a_2},{a_3},........\] be in an A.P. such that \[\sum\limits_{k = 1}^{12} {{a_{2k - 1}}}
Show that n = (1 − a1) (l − a2)(1 − a3) … (1 − an-1) || EXPLANATION || #maths #olympiad Show that n = (1 − a1) (l − a2)(1 − a3) … (1 − an-1) || EXPLANATION || #maths #olympiad
prove that ((1+a1+a1^2 )(1+a2+a2^2 )(1+a3+a3^2 )…⋅(1+an+an^2 ))/(a1⋅a2⋅a3..…an )≥ 3^n prove that ((1+a1+a1^2 )(1+a2+a2^2 )(1+a3+a3^2 )…⋅(1+an+an^2 ))/(a1⋅a2⋅a3..…an )≥ 3^n
Let (an) be a sequence such that ao = 0,a1 = and 2an+2 = 5an+1 - 3an,n = 0, 1,2,3, ... Then Ek-1 ak Let (an) be a sequence such that ao = 0,a1 = and 2an+2 = 5an+1 - 3an,n = 0, 1,2,3, ... Then Ek-1 ak
For an increasing A.P. `a_1,a_2,...a_n`, IF `a_1 + a_2 + a_3 = -12` and `a_1 a_2 a_3 = 80`, th... For an increasing A.P. `a_1,a_2,...a_n`, IF `a_1 + a_2 + a_3 = -12` and `a_1 a_2 a_3 = 80`, th...
Prove that a1 + 2*a2 + 3*a3 + ... + np*anp = (np/2)*[(p+1) raised to power n]. Prove that a1 + 2*a2 + 3*a3 + ... + np*anp = (np/2)*[(p+1) raised to power n].
PS06732- A sequence of numbers a1, a2, a3,…. is defined as follows: a1=3, a2=5... PS06732- A sequence of numbers a1, a2, a3,…. is defined as follows: a1=3, a2=5...
Sequences and Series: AP example 2 - 2016 June Sequences and Series: AP example 2 - 2016 June