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 1st 8 square numbers (square is represented by 2) 1, 4, 9, 16, 25, 36, 49, 64. If you want up to 12: 81, 100, 121, 144.
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
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
the 1st 8 square numbers (square is represented by 2) 1, 4, 9, 16, 25, 36, 49, 64. If you want up to 12: 81, 100, 121, 144.
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