General Rule for arithmetic sequence: 4,11,18,25,32,39
Mathematics · Middle School · Thu Feb 04 2021
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Given the arithmetic sequence:
4,11,18,25,32,39
A1 = 4
Determine the general rule of the arithmetic sequence.
Formula for arithmetic sequence:
An = a1 + ( n - 1) d
d = common difference
n = number of terms
Solution:
In order to determine the general rule, we simply need to find the common difference. This can be solved by subtracting the 2nd term with the 1st term.
Common Difference = 2nd term - 1st term
Common Difference = 11 - 1
Common Difference = 7
Substitute the values of d and A1 to the formula for the arithmetic sequence.
An = 4 + ( n - 1) 7
Final answer:
An = 4 + ( n - 1) 7