`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)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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`

 

 

Approved by eNotes Editorial Team