Verified Answer :

ayah1

The pattern is to add 1.5


1, 1.5
2, 3
3, 4.5
4, 6
5, 7.5

1 + (0.51) = 1.5
2 + (0.52) = 3
3 + (0.53) = 4.5
4 + (0.54) = 6
5 + (0.55) = 7.5

f(n) = n + (0.5n)

TSO

1.5, 3, 4.5, 6, 7.5

We need to find the pattern first.

3 - 1.5 = 1.5
4.5 - 3 = 1.5
6 - 4.5 = 1.5
7.5 - 6 = 1.5

So the pattern is 1.5
We plug it into the formula:

\(a_n = a_1 + (n-1)d\)

\(a_n = 1.5 + (n-1) 1.5\\a_n = 1.5 + 1.5n - 1.5\\a_n = 1.5 - 1.5 + 1.5n\\a_n =1.5n\)

So, we can find the nth term in the sequence using the formula:
\(a_n = 1.5n\)