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:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer