Question

Look carefully at this number pattern: 2, 8, 26, 80, …. Which of the following is the correct way of getting the FIFTEENTH number in this series? a) Multiply the fourteenth number by 4 b) Multiply the fourteenth number by 3 and add 2 to the result. c) Multiply the fourteenth number by 5 and subtract 2 from the result. d) Subtract 54 from the sixteenth number.

Answer 1

Answer:

In the pattern 2,8,26,80... the fourteenth number of the series is multiplied by 3 and two is added to the result to get the fifteenth number

option B

Step-by-step explanation

Given 2, 8, 26, 80....

Let us check the pattern

(2*3)+2 = 8

(8*3)+2= 24+2 = 26

(26*3)+2 =78+2 = 80

So to get any any (n+1) th number, the nth number is multiplied by 3 and 2 is added to it

So, for the fifteenth number,

n +1 = 15

n= 15-1 = 14

So, to get the fifteenth number,

The fourteenth number is multiplied by 3 and 2 is added to the result

so, option B, multiply fourteenth number by 3 and add 2 to the result is the correct answer

Answer 2

Answer: Answer b

Step-by-step explanation:

Multiply the fourteenth number by 3 and add 2 to the result