158k views
4 votes
Explicit formula to find the 8th term in the sequence below. 4, 7, 10, 13

User Joseline
by
7.5k points

1 Answer

1 vote

Answer:

25 is the 8th term.

a8=4+(8-1)3

Explanation:

4, 7, 10, 13

The formula in an explicit formula is

an=a1+(n-1)d

n is the term that you want to find, in this case it would be 8. So replace the n in an with "8."

a1 is the first term of the sequence, and for this sequence it would be 4. Replace a1 with "4."

For the n in (n-1), also replace with n with "8."

And d is the common difference between each term. We can see that from 4 to 7 is 3, from 7 to 10 is 3, from 10 to 13 is also 3. So we know that the common difference is 3 in this sequence. d would be replaced by "3"

a8=4+(8-1)3

a8=4+(7)3

a8=4+21

a8=25

So the 8th term of the sequence would be 25.

Hoped this helped!

User Morgan Feeney
by
6.7k points