X=(3/4)+(5/36)+(7/144)+till 9th term that is (19/8100)?

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X=(3/4)+(5/36)+(7/144)+till 9th term that is (19/8100)?

what is value of x

2007-02-06 01:19:03 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

Starting with n= 1 the expression of the general term seems to be

a_n = (2n+1)/[n(n+1)]^2 From this formula the nints term woul be (2*9+1)/(9*10^2 = 19/8100

3/4 +5/36+7/144+9/400 +11/900 +13/1764 +15/3136 +17/5184 +
19/8100 = 0.99

2007-02-06 05:16:39 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

the answer is 1

2007-02-06 09:54:50 · answer #2 · answered by Anonymous · 0⤊ 0⤋