Tuesday, April 15, 2014

`1, 1/2, 1/6, 1/24, 1/120` Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Given 1, 1/2, 1/6, 1/24, 1/120


In this sequence the numerator of each term is 1. The terms in the denominator follow the n! (factorial) pattern. The expression for the nth them of the sequence is `a_n=1/(n!)`


` `


` `


`a_1=1/(1!)=1`


` ` `a_2=1/(2!)=1/2`


`a_3=1/(3!)=1/6`


`a_4=1/(4!)=1/24`


`a_5=1/(5!)=1/120`



Given 1, 1/2, 1/6, 1/24, 1/120


In this sequence the numerator of each term is 1. The terms in the denominator follow the n! (factorial) pattern. The expression for the nth them of the sequence is `a_n=1/(n!)`


` `


` `


`a_1=1/(1!)=1`


` ` `a_2=1/(2!)=1/2`


`a_3=1/(3!)=1/6`


`a_4=1/(4!)=1/24`


`a_5=1/(5!)=1/120`



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