Question

Find the explicit formula of each sequence and then find the 100th term in the sequence: -1, 1, 3, 5, ...

A) Explicit formula: 2n - 3, 100th term: 197
B) Explicit formula: 2n - 1, 100th term: 199
C) Explicit formula: 2n + 1, 100th term: 201
D) Explicit formula: 2n + 3, 100th term: 203

Answer 1

The explicit formula for the sequence -1, 1, 3, 5, ... is 2n - 3. The 100th term of the sequence is 197.

Step-by-step explanation:

The explicit formula for the given sequence is 2n - 3. To find the 100th term in the sequence, substitute n = 100 into the formula: 2(100) - 3 = 197.