Question

Find an explicit formula for f(n)
f(1)=−62 f(n)=f(n−1)+5
​

Answer 1

f(n)=-71*4.2∧n-1

Explanation:

This is the answer from khan academy

Answer 2

• f(n) = 5n - 67

Explanation:

Given

• f(1)=−62
• f(n)=f(n−1)+5

Property of AP

• aₙ = a₁ + (n-1)d
• a₁ = -62, d = 5

Applying same on the given function

• f(n) = -62 + (n-1)*5 = -62 + 5n - 5 = 5n - 67
• f(n) = 5n - 67