find the general term for {5/1, 8/2, 11/6, 14/24, 17/120}

Mathematics
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find the general term for {5/1, 8/2, 11/6, 14/24, 17/120}

Jul 6th, 2015

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5 /1  , 5+3/2*1 , 8+3 /3*2*1 , 11+3/4*3*2*1 , 14+3/5*4*3*2*1 , 17+3/6*5*4*3*2*1 ....

numerator follows Arithmetic progression series .. 5,8,11,14,17

first term, a = 5 , 

common difference d = 3 ,

 nth formula  = a+(n-1)*d   = 5 + (n-1)*3 = 5 + 3n - 3 = 3n+2

denominator follows factorial n

general term will be  = 3n+2 / factorial(n)



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 6th, 2015

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