the first term of a sequence of numbers is 4. each term after the first is 4 more than half the preceding term, what is the fourth term of the sequence?

4, 6, 7, ?

What do you think?

7.5 Nope.

Half of 7 is 3.5

Oops! You are right! I goofed in my last response.

To find the fourth term of the sequence, we need to follow the given rule: each term after the first is 4 more than half the preceding term.

Let's start by listing the first few terms of the sequence:
1st term: 4
2nd term: 4 + 4/2 = 4 + 2 = 6
3rd term: 6 + 4/2 = 6 + 2 = 8

To find the fourth term, we apply the same rule:
4th term: 8 + 4/2 = 8 + 2 = 10

Therefore, the fourth term of the sequence is 10.