Question

Given the formula for an arithmetic sequence f(8) = f(7) + 5 written using a recursive formula, write the sequence using an arithmetic explicit formula.
Answer choices
f(8) = f(1) + 5
f(8) = f(1) + 7
f(8) = f(1) + 35
f(8) = f(1) + 40

Answer 1

Answer:

f(8) = f(1)+35

Step-by-step explanation:

f(8) = f(7) + 5

We are adding 5 each time

f(7) = f(6)+5

f(6) = f(5) +5

f(5) = f(4)+5

f(4) = f(3) +5

f(3)=f(2)+5

f(2)=f(1)+5

f(8) = f(7) + 5

Replacing

f(8) = f(6)+5 + 5

f(8) = f(5)+5+5 + 5

f(8) = f(4)+5+5+5 + 5

f(8) = f(3)+5+5+5 + 5+5

f(8) = f(2)+5+5+5+5 + 5+

f(8) = f(1)+5+5+5+5+5 + 5+5

f(8) = f(1)+35