Find the 20th term of the following sequence. -6, -4, -2, 0, ...
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the Arithmetic Sequence:
-6, -4, -2, 0….
Determine the 20th term.
Formula for arithmetic sequence.
An = a1 + (n-1)d
Solution:
We must first identify the value of d or the common difference, in order to solve the equation. To solve for the d, we subtract the second term by the first term.
= -4 - (-6)
= -4 + 6
= 2
Common Difference: d = 2
Now we can substitute the value in the given equation.
A20 = -6 + (20 - 1) 2
A 20 = -6 + 38
A20 = 32
The 20th term is 32.