Question

evaluate the function x=0 and x=1 and x=2. then write a recursive formula for the pattern. f(x)=250(0.5)^x. WILL GIVE MEDAL FOR FIRST COMPLETE ANSWER

Answer 1

well let x = 0

so
\[f(0) = 250 \times 0.5^0~~~~so~~~f(0) = 250\]

\[f(1) = 250 \times 0.5^1~~~so ~~f(1) = 125\]

lastly

\[f(2) = 250 \times 0.5^2 = 62,5\]

so you have a geometirc series

250, 125, 62.5

so the common ratio is 0.5 and the 1st term is 250...

hope it helps you get the recursive equation