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.