Question

consider the recursive formula. The first term of the sequence is 10, what is the 3rd term?A. 1B. 4C. 6D. 8

Answer 1

Given the recursive formula:

`a_n=(2+a_(n-1))/(2)`

and that the first term (that is a1=10) we have:

`\begin{gathered} a_2=(2+10)/(2)=(12)/(2)=6 \\ a_3=(2+6)/(2)=(8)/(2)=4_{} \end{gathered}`

Therefore the third term is 4