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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}
# 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
Distribute the 49 and 81 first
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
The pattern consists of perfect squares in descending order: (10^2), (9^2), (8^2), and (7^2). Following this pattern, the next number would be (6^2), which is 36. Therefore, the completed pattern is 100, 81, 64, 49, 36.
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 .
The perfect squares between 1 and 100 are the squares of the integers from 1 to 10. These include: 1 (1²), 4 (2²), 9 (3²), 16 (4²), 25 (5²), 36 (6²), 49 (7²), 64 (8²), 81 (9²), and 100 (10²). Therefore, the perfect squares in that range are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
The two square numbers closest to 74 are 64 (8^2) and 81 (9^2). 64 is the square of 8 because 8 x 8 = 64, and 81 is the square of 9 because 9 x 9 = 81. Since 74 falls between 64 and 81, these are the two square numbers closest to 74.
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
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225.
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 - 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