Final answer:
The formulas for different types of sequences are: a) Arithmetic sequence formula: a + (n-1)d, b) Geometric sequence formula: a(r^(n-1)), c) Quadratic sequence formula: an^2 + bn + c, d) Exponential sequence formula: ar^(n-1).
Step-by-step explanation:
To find the sequence formula using a calculator, we need to determine the type of sequence first. Here are the formulas for different types of sequences:
a) Arithmetic sequence formula: The formula for the n-th term of an arithmetic sequence is a + (n-1)d, where a is the first term and d is the common difference.
b) Geometric sequence formula: The formula for the n-th term of a geometric sequence is a(r^(n-1)), where a is the first term and r is the common ratio.
c) Quadratic sequence formula: The formula for the n-th term of a quadratic sequence is an^2 + bn + c, where a, b, and c are constants.
d) Exponential sequence formula: The formula for the n-th term of an exponential sequence is ar^(n-1), where a is the first term and r is the common ratio.