Suppose the 4th term of an arithmetic sequence is 27, and the 8th term is 59.
1. What are the first term and the common difference?
2. Write a function for the sequence.

The first term is 3 and common difference is 8.

And

The formula for sequence is:

Function is:

Step-by-step explanation:

Given that

The general formula for arithmetic sequence is:

Here

a is the first term

n is the term number

and d is the common difference

for 4th term

For 8th term

subtracting equation 1 from equation 2

Putting d = 8 in equation 1

Now for the function

The sequence can also be expressed as a function as:

Hence,

The first term is 3 and common difference is 8.

And

The formula for sequence is:

Function is:

the answer is 175.4379

step-by-step explanation:

the answer is simply just 6n add the two together as they have an n