ANSWER
a(7) = 10.4
Step-by-step explanation
We have the recursive rule given:
a(n) = a(n-1) + 1.4
The first term, a, is 2.
The general form of a recursive rule is:
a(n) = a(n-1) + d
where d = common difference
So, the common difference of the arithmetic sequence is 1.4
The nth term of an arithmetic sequence is given by:
a(n) = a + (n - 1)d
Therefore, the 7th term is:
a(7) = 2 + (7 - 1) * 1.4
a(7) = 2 + (6 * 1.4) = 2 + 8.4
a(7) = 10.4
That is the seventh term.