Question

Write down the first five terms of the sequence an=8nn+8 a1 = a2 = a3 = a4 = a5 =

Answer 1

`a_n=(8n)/(n+8)`

First term: Evaluate the expression above for n=1:

`a_1=(8(1))/(1+8)=(8)/(9)`

Second term: evaluate the expression for n=2:

`a_2=(8(2))/(2+8)=(16)/(10)=(8)/(5)`

Third term: evaluate the expression for n=3:

`a_3=(8(3))/(3+8)=(24)/(11)`

Fourth term: evaluate the expression for n=4:

`a_4=(8(4))/(4+8)=(32)/(12)=(8)/(3)`

Fifth term: evaluate the expression for n=5:

`a_5=(8(5))/(5+8)=(40)/(13)`Then, the first five terms of the given sequence are:a1=8/9a2=8/5a3=24/11a4=8/3a5=40/13