Question

the pattern below follows the rule "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row" what is the fifth value? a. 18 b. 12 c. 34 d. 66

Answer 1

Answer: a. 18

Step-by-step explanation:

Given phrase : "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row"

The recursive formula for the given phrase :-

$a_n=2a_{n-1}-2$

The first term : $a_1=3$

The second term : $a_2=2(3)-2=4$

The third term : $a_3=2(4)-2=6$

The fourth term : $a_4=2(6)-2=10$

The fifth term : $a_5=2(10)-2=18$

Hence, the fifth value of the pattern = 18