Which is an equation for the nth terms of the sequence 12,15,18,21
Mathematics · College · Mon Jan 18 2021
Answered on
Given the numerical sequence:
12, 15, 18, 21
Determine the equation of the sequence.
Solution:
Formula for Arithmetic sequence:
An = a1 + ( n - 1) d
In order to determine the equation of the sequence, we simply must find d or the common difference. To find for the common difference, we simply need to solve for d, by subtracting the 2nd term with the 1st term.
Common Difference = 2nd term - 1st term
Common Difference = 15 - 12
Common Difference = 3
Substitute the given values of d and a1, to the formula for arithmetic sequence.
An = 12 + ( n - 1 ) 3
Final answer:
An = 12 + ( n - 1 ) 3