To determine the next term in the series [tex]\(23.16, 39, 55, 94\)[/tex], we will first examine the differences between consecutive terms in the sequence.
1. Calculating the difference between the first term and the second term:
[tex]\[
39 - 23.16 = 15.84
\][/tex]
2. Calculating the difference between the second term and the third term:
[tex]\[
55 - 39 = 16
\][/tex]
3. Calculating the difference between the third term and the fourth term:
[tex]\[
94 - 55 = 39
\][/tex]
Next, to find the probable next term in the series, we add the last obtained difference to the last term in the series:
[tex]\[
94 + 39 = 133
\][/tex]
So, after careful analysis, the next term in the series is 133.
