Final answer:
The given series can be represented in sigma notation as ∑(3 + (n-1)9).
Step-by-step explanation:
The given series can be written in sigma notation in the following way:
∑(3 + (n-1)9)
In this notation, ∑ represents the summation symbol, n represents the number of terms in the series, and the expression inside the parentheses represents the general term in the series. In this case, the general term is 3 + (n-1)9, where n is the position of the term in the series.
To find the number of terms in the series, we can subtract the first term (3) from the last term (48) and then divide the result by the common difference (9):
(48 - 3) / 9 = 5
So, there are 5 terms in the series. Therefore, the sigma notation for the given series is ∑(3 + (n-1)9), where n ranges from 1 to 5.