Respuesta :
Answer:
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
