what is the nth term of the arithmetic sequence 6,10,14
Answer:
To find the nth term of an arithmetic sequence, we can use the formula:
nth term = first term + (n - 1) * common difference
In the given arithmetic sequence, the first term (a₁) is 6, and the common difference (d) is 4 (as each term increases by 4).
Using the formula, we can find the nth term:
nth term = 6 + (n - 1) * 4
Simplifying further:
nth term = 6 + 4n - 4
nth term = 2 + 4n
Therefore, the nth term of the arithmetic sequence 6, 10, 14 is given by the formula 2 + 4n.