Question

12 Points ASAP Will mark BRAINLEIST

Given the formula for an arithmetic sequence f(5) = f(4) + 3 written using a recursive formula, write the sequence using an arithmetic explicit formula.

f(5) = f(1) + 3
f(5) = f(1) + 4
f(5) = f(1) + 12
f(5) = f(1) + 15

Answer 1

Answer:

$f(5)=f(1)+12$

Step-by-step explanation:

If $f(5) = f(4) + 3,$ then

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

So,

$f(2)=f(2-1)+3=f(1)+3\\ \\f(3)=f(3-1)+3=f(2)+3=f(1)+3+3=f(1)+6\\ \\f(4)=f(4-1)+3=f(3)+3=f(1)+6+3=f(1)+9\\ \\f(5)=f(5-1)+3=f(4)+3=f(1)+9+3=f(1)+12$

Answer 2

Answer:f(5) = f(1) + 12

Step-by-step explanation: