SOLUTION: Find the nth term for this increasing arithmetic sequence: 2,4,6,8,10...

Question 1201812: Find the nth term for this increasing arithmetic sequence:
2,4,6,8,10...
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

ANSWER: 2n

The common difference is 2, so the formula for the n-th term is 2n+a for some number a.

When n=1, the term is 2, so

2(1)+a = 2
2+a = 2
a = 0

So the formula for the n-th term is 2n+0, or just 2n.

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer:

Explanation:
n = a positive integer
a1 = 2 is the first term
d = 2 is the common difference, the gap between terms

As a check, let's plug in say n = 3

The third term is indeed 6. I'll let you check the other values of n.
n = 1, 2, 3, ...
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