Mathematics: 2, 6, 10, 14, in the sequence above, each term after the first is 4 greater than the preceding term. which of the following is not a term in the sequence? a. 90 b. 150 c. 160 d. 170 e. 210

2, 6, 10, 14, in the sequence above, each term after - id261014903896, aprilreneeclaroxob0c

Ответ:

cluchmasters3831

13.03.2022

The sequence can be represented by 2 + 4x , where is a whole number( $x \geq 0$ and is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to 2 + 4x and confirm that there is a whole number x which equals the values selected.

$2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark$

$2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark$

$2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5$

When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.

$2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark$