A list of numbers represents the following pattern:
For each number after the first, multiply the previous number by itself, and then subtract that number. Which list does NOT represent that pattern?
A. 1,1,1,1, and so on
B. 2,2,2,2, and so on
C. 3,6,30,870, and so on
D. 4,12,132, 17, 412, and so on
Can somebody please show me in detail on how to solve this problem by getting the correct answer?
Can someone please help me?
A.. Because then number after 1 have to multiply the previous number (1) so 1*1=1. Then it subtracts the previous number 1-1=0. So the list would be 1,0,0,0,0 so on... So A is incorrect
To solve this problem, let's analyze each option one by one:
A. The first option is 1,1,1,1, and so on. In this sequence, each number is the same as the previous number. So, if we apply the given pattern of multiplying the previous number by itself and then subtracting that number, we would get the same number as the previous one. For example:
1 x 1 - 1 = 0
0 x 0 - 0 = 0
0 x 0 - 0 = 0
...
Therefore, option A represents the given pattern correctly.
B. The second option is 2,2,2,2, and so on. In this sequence, each number is identical to the previous number. So, applying the pattern to this sequence:
2 x 2 - 2 = 2
The result of applying the pattern does not match the previous number. Therefore, option B does not represent the given pattern.
C. The third option is 3,6,30,870, and so on. In this sequence, each number is obtained by multiplying the previous number by itself and then subtracting that number. Let's apply the pattern to the sequence:
6 x 6 - 6 = 30
30 x 30 - 30 = 870
The pattern is correctly applied, and each number matches the previous number. Therefore, option C represents the given pattern correctly.
D. The fourth option is 4,12,132, 17, 412, and so on. In this sequence, each number does not seem to be obtained by multiplying the previous number by itself and then subtracting that number. Let's apply the pattern to the sequence:
12 x 12 - 12 = 132
132 x 132 - 132 = 17,412
The pattern does not seem to be applied correctly in this sequence as each number does not match the previous one. Therefore, option D does not represent the given pattern.
Based on our analysis, the option that does NOT represent the given pattern is Option B: 2,2,2,2, and so on.