Question:
g(1)=-19,
g(n)= g(n-1)+6,
find an explicit formula for g(n)
Answer:
g(n) = 6n - 25.
Step-by-step explanation:
We have an arithmetic sequence here.
The common difference (d) is g(n) - g(n - 1) = 6.
The first term a1 = -19 so the formula is:
a1 + (n - 1)d
-19 + (n - 1)6
= 6n - 19 - 6
= 6n - 25.
