Find the nth term of a sequence. 2, 6, 10, 14, 18
Question
Find the nth term of a sequence. 2, 6, 10, 14, 18
Solution
The given sequence is an arithmetic sequence, which means each term increases by a constant difference.
Step 1: Identify the common difference The common difference (d) is the difference between any two successive terms. In this case, d = 6 - 2 = 4.
Step 2: Use the formula for the nth term of an arithmetic sequence The formula for the nth term (An) of an arithmetic sequence is: An = A1 + (n - 1) * d
Where: A1 is the first term in the sequence (in this case, A1 = 2) n is the term number d is the common difference
So, the nth term of the sequence is given by: An = 2 + (n - 1) * 4
Simplify this to: An = 4n - 2
So, the nth term of the sequence 2, 6, 10, 14, 18 is 4n - 2.
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