Answer:
The sequence will be 4.15, 6.3, 8.45, 10.60, 12.75........
Step-by-step explanation:
The given sequence is 4.15, 6.3, 8.45
Now we check whether the given sequence is arithmetic of geometric.
6.3 - 4.15 = 2.15
8.45 - 6.3 = 2.15
There is a common difference of 2.15 which confirms it's an arithmetic sequence.
Explicit formula for the arithmetic sequence is
[tex]T_{n}=a+(n-1)d[/tex]
[tex]T_{n}[/tex] = nth term
a = first term of the sequence = 4.15
n = number of term
d = common difference = 2.15
Now we can find other terms of the sequence
[tex]T_{4}=4.15+(4-1)2.15[/tex]
[tex]T_{4}=4.15+6.45[/tex]
[tex]T_{4}=10.6[/tex]
[tex]T_{5}=4.15+(5-1)2.15[/tex]
[tex]T_{5}=12.75[/tex]
Therefore, the sequence will be 4.15, 6.3, 8.45, 10.60, 12.75............
