It is the squares in decreasing order from 102: 100 = 102 81 = 92 64 = 82 49 = 72 etc So it will continue with 62, 52, 42, ... The nth term is given by tn = (11 - n)2
The simplest pattern that your teacher is most likely to want is: U{n} = (n + 5)² for n = 1, 2, 3, 4 ie each term is the square of the next whole number starting with 6: {36, 49, 64, 81} = {6², 7², 8², 9²}
Distribute the 49 and 81 first
# 1^2=1 # 2^2=4 # 3^2=9 # 4^2=16 # 5^2=25 # 6^2=36 # 7^2=49 # 8^2=64 # 9^2=81 # 10^2=100
They are: 1 1^2 4 2^2 9 3^2 16 4^2 25 etc. 36 49 64 81 100 121 144 169 196 225 256 289 17^2
Factors of 49: 1, 7, and 49Factors of 64: 1, 2, 4, 8, 16, 32, and 64The only common factor of 49 and 64 is 1 .
It is the squares in decreasing order from 102: 100 = 102 81 = 92 64 = 82 49 = 72 etc So it will continue with 62, 52, 42, ... The nth term is given by tn = (11 - n)2
1, 2, 4, 8, 16, 32, 64 1, 3, 9, 27, 81
Oh, what a happy little question! The first eight square numbers are 1, 4, 9, 16, 25, 36, 49, and 64. Each of these numbers is the result of multiplying a number by itself, like painting a beautiful picture layer by layer. Just remember, there are infinite numbers out there waiting to be discovered and appreciated, just like the beauty of nature all around us.
The factors of 49 are 1, 7, and 49. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64. The only common factor is 1, which means the greatest common factor is also 1.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225.
1 - 1 2 - 4 3 - 9 4 - 16 5 - 25 6 - 36 7 - 49 8 - 64 9 - 81
The simplest pattern that your teacher is most likely to want is: U{n} = (n + 5)² for n = 1, 2, 3, 4 ie each term is the square of the next whole number starting with 6: {36, 49, 64, 81} = {6², 7², 8², 9²}
1: 1 4: 1, 2, 4 9: 1, 3, 9 16: 1, 2, 4, 8, 16 25: 1, 5, 25 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 49: 1, 7, 49 64: 1, 2, 4, 8, 16, 32, 64 81: 1, 3, 9, 27, 81 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
101
36, 49, 64, 81, 100, 121, 144... These are all squared integers, except for 2
0 1 4 9 16 25 36 49 64 81 100 121 144 169 196