A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *

Step-by-step explanation:

Given

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

In this case:

Difference (d) is difference of 2 successive terms

So:

Substitute 4 for d and 12 for a in

Open Bracket

Collect Like Terms

Hence, the explicit formula is:

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in:

A) The explicit formula for the sequence is , .

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let , we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

(1)

Where:

- First value of the sequence, dimensionless.

- Arithmetic increase rate, dimensionless.

- Term of the value in the sequence, dimensionless.

If we know that and , then the explicit formula for the sequence is:

,

B) If we know that and , the 11th term of the sequence is:

The 11th term of the sequence is 62.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval