HELP I GIVE POINTS FOR THIS and brainliest Use the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.

Respuesta :

Answer:

The second term is 12.6

Step-by-step explanation:

Let us solve the question

∵ The recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11

f(1) = 4

→ To find the 2nd term, sunstitute n by 2

n = 2

∴ f(2) = 0.4 · f(2 - 1) + 11

f(2) = 0.4 · f(1) + 11

→ Substitute f(1) by 4

∵ f(2) = 0.4 · 4 + 11

→ Simplify the formula

∴ f(2) = 1.6 + 11

f(2) = 12.6

The second term is 12.6