Question

f (n) = -3n -1 what is the common diffrence

Answer 1

The common difference of the function is -3

How to find the common difference?

f(n) = -3n  - 1

where

• n = number of terms

A common difference is the difference between consecutive numbers in an arithmetic sequence.

Therefore,

f(1) = -3(1) - 1

f(1) = -3 - 1

f(1) = -4

f(2) = -3 (2) - 1

f(2) = -6 - 1 = -7

f(3) = -3 (3) - 1

f(3) = -9 - 1 = -10

f(4) = -3 (4) - 1

f(4) = -12  - 1 = - 13

The sequence are -4, -7, - 10, - 13.

Hence,

common difference = -7 - (-4) = -3

Therefore, the common difference of the function is -3

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