Question

Nicol represents the explicit formula for the arithmetic sequence aⁿ=10+3(n²) in function form?

a) 10+3n²
b) 3n²+10
c) 10×3ⁿ
d) 3ⁿ+10

Answer 1

The explicit formula for the arithmetic sequence is 10 + 3(n²). To write this formula in function form, replace the exponent with the variable n. The function form is f(n) = 10 + 3(n²).

Step-by-step explanation:

The explicit formula for the arithmetic sequence is represented by the equation aⁿ = 10 + 3(n²).

To write this formula in function form, we simply replace the exponent ⁿ with the variable n. Therefore, the function form of the explicit formula is f(n) = 10 + 3(n²).