Question

Given this explicit equation, what is the common difference?

f(n)=8n+2

Answer 1

Explanation:

`we \: want \: to \: find \: commen \: differe \: nce \\ so \: put \: n= 1 \: and \: n = 2 \\ then \: calculate \: its \: difference \\ then \\ f(n) = 8n + 2 \\ f(1) = 8 * 1 + 2 = 8 + 2 = 10 \\ f(2) = 8 * 2 + 2 = 16 + 2 = 18 \\ f(2) - f(1) = 18 - 10 = 8 \\ 8is \: the \: commen \: difference \\ thank \: you`

Answer 2

• d = 8

Explanation:

Common difference is the difference between two consecutive terms:

• d = f(2) - f(1)
• d = 8*2 + 2 - 8*1 - 2 = 16 - 8 = 8

Or you can use the slope of the line as common difference, which is 8.