Question

PLS HURRY THANK YOU.

Answer 1

Given:

The arithmetic sequence is represented in the table.

The general form of the arithmetic sequence is given by

`a_n=a_1+(n-1)d`

We need to determine the value of the missing term.

First term:

From the table, we need to determine the first term of the arithmetic sequence.

From the table, the value of the first term is 3.

Thus,
`a_1=3`

Hence, the first term is 3.

Common difference:

From the table, we can determine the common difference of the arithmetic sequence.

Thus, we have;

12 - 3 = 9

Hence, the common difference is
`d=9`

Value of the missing term:

The value of the term 45 can be determined by substituting n = 45 in the general form
`a_n=a_1+(n-1)d`

Thus, we have;

`a_(45)=3+(45-1)(9)`

`a_(45)=3+(44)(9)`

`a_(45)=3+396`

`a_(45)=399`

Hence, the value of the term 45 is 399.

Thus, the value of the missing term is 399.