Write and solve an expression to find the nth term of each arithmetic sequence...
3,7,11,15 n=8
Each term is 4 more than the previous term; therefore:
19, 23, 27, 31.
35
To find the nth term of an arithmetic sequence, you can use the formula:
nth term = first term + (n - 1) * common difference
In the given sequence, the first term (a) is 3, and the common difference (d) is 4.
So, let's substitute these values into the formula to find the 8th term (n = 8):
8th term = 3 + (8 - 1) * 4
Simplifying:
8th term = 3 + 7 * 4
8th term = 3 + 28
8th term = 31
Therefore, the 8th term of the sequence 3, 7, 11, 15 is 31.