Gracie's pattern of increasing perfect squares is shown below.
25,36,__,64,81,100
What number does Gracie need to square to find the missing term?
To find the missing term in Gracie's pattern of increasing perfect squares, we need to identify the pattern and determine the next perfect square in the sequence.
Looking at the given sequence:
25, 36, __, 64, 81, 100
We can see that each term is a perfect square:
25 = 5^2
36 = 6^2
64 = 8^2
81 = 9^2
100 = 10^2
Therefore, the missing term should be the square of the next consecutive number after 6, which is 7.
To find the missing term, we square 7:
7^2 = 49
So, the missing term is 49.
To find the missing term in Gracie's pattern, we need to look for the pattern or rule that is being followed. In this case, we can see that the given numbers are perfect squares.
So, let's identify the pattern in the sequence:
- The first number is 25, which is the square of 5 (5^2 = 25).
- The second number is 36, which is the square of 6 (6^2 = 36).
- The fourth number is 64, which is the square of 8 (8^2 = 64).
- The fifth number is 81, which is the square of 9 (9^2 = 81).
- The sixth number is 100, which is the square of 10 (10^2 = 100).
From this pattern, we can see that the missing number should be the square of the next counting number after 6, which is 7. Therefore, Gracie needs to square 7 to find the missing term.
The missing term is: 49 (7^2 = 49).
So, the missing number in the sequence is 49.
Gracie's pattern of increasing perfect squares is shown below.
25,36,__,64,81,100
What number does Gracie need to square to find the missing term?
well, the sequence is
5^2, 6^2, ___, 8^2, 9^2, 10^2
so, what do you think?