Four numbers 2, -3, 5 and -7 are arranged in a pattern as shown. 2, -3, 5, -7, 2, -3, 5, -7, 2, -3 ..........
what is the 2005 number?
2005 /4 = 501 1/4
2004/4 = 501 so -7
so
2
Please, Damon, I need the rule write in Formulas.
To find the 2005th number in the pattern, we need to determine the repeating portion of the pattern and then calculate how many repetitions would be needed to reach the 2005th number.
The given pattern is: 2, -3, 5, -7, 2, -3, 5, -7, 2, -3 ...
We can observe that the pattern repeats every 4 numbers: 2, -3, 5, -7. So, the 5th number would be the same as the 1st, the 6th number would be the same as the 2nd, and so on.
To find the 2005th number, we can divide 2005 by 4 to determine how many complete repetitions of the pattern there would be, and then find the remainder to determine which number in the pattern we need.
2005 divided by 4 is 501 with a remainder of 1. This means that there would be 501 complete repetitions of the pattern, and we need to find the remainder which corresponds to the position in the pattern.
Since the remainder is 1, we need to find the 1st number in the pattern. Therefore, the 2005th number is the same as the 1st number in the pattern, which is 2.