In binomial expansions, the number of terms can be determined using the formula n + 1, where n refers to the exponent of the binomial expression.
In this case, the expression is (3x + y)^n. If we focus solely on the 3x component, we need to understand the exponent n being applied. However, you’ve provided a series of numbers (59, 8, 9, 10, 11) without a clear context, so I’ll assume that one of these numbers is the exponent.
Let’s assume the exponent is n = 59.
Using the formula, the number of terms is: 59 + 1 = 60.
If you meant to choose a different exponent, simply replace 59 in the formula with that number to find the respective count of terms.