Question

Write an explicit formula for each sequence given below.

Part A
1,-10, 100,-1,000, 10,000
Explicit Formula: In =
Part B
10.2, 2.2, -5.8, -13.8, -21.8
Explicit Formula: an =

Answer 1

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

Step-by-step explanation:

Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

The over all formula is as follow

Explanation:

Hope this helps:)