F (1) = -1.8 f (n) = f (n-1) ⋅9 Find an explicit formula for f (n)

f (1) = - 1.8

f (n) = f (1) x 9ⁿ⁻¹

Step-by-step explanation:

f (1) = - 1.8

f (n) = f (1) x 9ⁿ⁻¹

f (1) = - 1.8 x 9⁰ = - 1.8

f (2) = - 1.8 x 9¹

f (3) = - 1.8 x 9²

check:

f (1) = -1.8

f (n) = f (n-1) ⋅9

f (2) = f (1) x 9 = - 1.8 x 9¹

f (3) = f (2) x 9 = ( - 1.8 x 9) x 9 = - 1.8 x 9²

Answer: f (n) = - 1.8*9^n-1