Consider the following sequence:
- When 1 equals 3
- When 2 equals 6
- When 3 equals 11
- When 4 equals 18
Given this pattern, what would 5 equal?
To solve this, observe the pattern in how each number is transformed. Determine the rule that connects each number to its result, and apply this rule to find the value for 5.
Answer:
The pattern follows the formula: n2+2n^2 + 2. Applying this formula:
For n=5n = 5, the result is 52+2=25+2=275^2 + 2 = 25 + 2 = 27.
So, 5 equals 27.