Question

A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5)?

Answer 1

Hello,


`f(1)=120\\ f(2)=-(1)/(2)*120=-60\\ f(3)=-(1)/(2) *(-60)=30\\ f(4)=-(1)/(2) *(30)=-15\\ f(5)=-(1)/(2) *(-15)=(15)/(2)\\`