Question

, list the first five terms of each sequence.
an = an−1 ÷ 2, where a1 = 50 for n ≥ 2

Answer 1

The first 5 terms of the sequence are 50,25,12.5,6.25,3.125

Explanation:

Given that

`a_n=(a_(n-1))/(2), \texttt{where }a_1=50\texttt{ for n}\geq 2`

So we have

`a_1=50\\\\a_2=(a_(2-1))/(2)=(a_(1))/(2)=(50)/(2)=25\\\\a_3=(a_(3-1))/(2)=(a_(2))/(2)=(25)/(2)=12.5\\\\a_4=(a_(4-1))/(2)=(a_(3))/(2)=(12.5)/(2)=6.25\\\\a_5=(a_(5-1))/(2)=(a_(4))/(2)=(6.25)/(2)=3.125`

The first 5 terms of the sequence are 50,25,12.5,6.25,3.125