A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)?

Question

asked Oct 9, 2021 87.1k views

2 Answers

Malte Schwerhoff · Answer 1 · 2021-10-13T19:04:04+0000

Answer:

31

Explanation:

From the expression

F(n + 1) = F(n) -3

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

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

f(4)- f(3) = -3

f(4) + 3 = f(3)

22 + 3 = 25 = f(3)

Similarly ; f(2) = f(3) + 3 = 25 + 3 = 28

f(1)= f(2) + 3 = 28 + 3 = 31