Given the function defined below, what is the value of the 4th term?

f (1) = - 4

f (n) = - 3f (n-1) + 5

f (4) =

The 4 t h term is f (4) = 143

Step-by-step explanation:

Explanation:-

Given function f (1) = - 4

Given 'nth' term is f (n) = - 3f (n-1) + 5

Put n = 2 f (2) = - 3 f (2-1) + 5

= - 3 f (1) + 5

= - 3 (-4) + 5

= 12 + 5

f (2) = 17

put n = 3

f (n) = - 3f (n-1) + 5

f (3) = - 3 f (3-1) + 5

= - 3f (2) + 5

= - 3 (17) + 5

= - 51+5

f (3) = - 46

Put n=4

f (n) = - 3f (n-1) + 5

f (4) = - 3f (4-1) + 5

f (4) = - 3f (3) + 5

f (4) = - 3 (-46) + 5

f (4) = 138 + 5

f (4) = 143

Final answer:-

The 4 t h term is f (4) = 143