Complete the pattern.
1,1,4,25,--------,749956
Thanks for your help
To complete the pattern, let's determine the relationship between the given numbers and find the missing number.
Looking at the pattern, it appears that each number is obtained by raising the previous number to the power of 2 and then adding a constant value.
Let's break it down step by step:
- The first number is 1, so we have our starting point.
- To get the second number, we raise 1 to the power of 2, which is 1, and then add a constant value. In this case, the constant seems to be 0, so we get 1 as the second number.
- To get the third number, we raise 1 to the power of 2, which is 1, and then add a constant value. The constant value here is 3, so we get 1 + 3 = 4 as the third number.
- To get the fourth number, we raise 4 to the power of 2, which is 16, and then add a constant value. The constant value here is 9, so we get 16 + 9 = 25 as the fourth number.
- Now, to find the missing number, we need to raise 25 to the power of 2, which is 625, and then add a constant value. The constant value can be calculated by subtracting the fourth number (25) from the fifth number (the missing number). Therefore, the missing number can be found by adding 625 and the difference between the fifth and fourth numbers:
Missing number = 625 + (missing number - 25)
To simplify this equation, we can rearrange it:
Missing number - 625 = missing number - 25
Subtracting missing number from both sides:
-625 = -25
Simplifying:
Missing number = 600
Therefore, the missing number in the pattern is 600.
Let me know if you need any further assistance!