Complete the pattern
1,1,4,25,______, 749956
A 625
B 1375
C 741
D 841
841
Kind of like a squared Fibonacci sequence:
Tn = (Tn-1 + Tn-2)^2
To complete the pattern, let's look for a pattern between the given numbers:
1^2 = 1
2^2 = 4
5^2 = 25
We can see that each number is the square of the next whole number. Following this pattern, we can calculate the missing number:
10^2 = 100
Now, let's continue with the last given number:
100^2 = 10000
Therefore, the missing number in the pattern is 10000.
Now, let's find the next number in the pattern:
316^2 = 99856
Finally, the missing number in the given pattern is 99856.
Therefore, the complete pattern is:
1, 1, 4, 25, 100, 99856.
So, the correct option is:
D) 841
To complete the pattern, we need to identify the relationship between the given numbers and continue the sequence accordingly.
Let's analyze the given numbers:
1, 1, 4, 25, ______, 749956
Looking closely, we can see that each number seems to be the square of the subsequent number:
1^2 = 1
1^2 = 1
2^2 = 4
5^2 = 25
So, for the next number in the pattern, we can conclude that it would be the square of the following number:
8^2 = 64
Therefore, the missing number in the pattern is 64.
The correct answer is not listed among the options given (A 625, B 1375, C 741, D 841). Thus, none of the options match the pattern.