Question

Thank you for who can ever answer this

Answer 1

Answer:

The 28th term is $\boxed{63.8}.$

Step-by-step explanation:

Let $a_n$ denote the $n$th term of the sequence.

We can start by noticing that:

$a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = 2.6 = r,$

which means that this sequence is actually an arithmetic progression. We know that the $n$th term of these sequences is always:

$a_n = a_1 + r(n-1).$

This sequence in particular is given by:

$a_n = -6.4 + 2.6 (n-1).$

To find the 28th term, we simply set $n=28$:

$a_{28} = -6.4 + 2.6 (28-1) = -6.4 + 2.6 \times 27 = -6.4 + 70.2 = 63.8.$

So we finally get:

$\boxed{a_{28} = 63.8}.$