What is a14 of the sequence 2,11,20,…?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the arithmetic sequence:
2, 11, 20
Determine a 14
a1 = 2
a2 = 11
a3 = 20
n =14
Formula for arithmetic sequence:
An = a1 + (n-1)d
Solution:
In order to find for a14, we must first find for d or the common difference. d can be determined by subtracting the second term with the first term.
Common Difference = a2 - a1
Common Difference = 11 - 2
Common Difference = 9
Substitute the given values to the formula for the arithmetic sequence.
An = a1 + (n-1)d
A14 = 2 + ( 14 - 1) 9
A 14 = 2 + (13)9
A14 = 119
Final answer:
A14 = 119