138k views
3 votes
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

User Adam McKee
by
7.7k points

2 Answers

5 votes

Answer:18

Explanation:

User Robert Lachner
by
8.1k points
7 votes

Answer: a. 18

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

User Fayakon
by
7.0k points