Number Patterns

[Admin]

#18924

Show that the number pattern 1, 4, 9, 16 … can be expressed as n², for n = 1, 2, 3 … and hence find the 100th term.
n = 1 n2 = 12 = 1	substitute n = 1 into n2
n = 2 n2 = 22 = 4	substitute n = 2 into n2
n = 3 n2 = 32 = 9	substitute n = 3 into n2
n = 4 n2 = 42 = 16	substitute n = 4 into n2
hence n2 will make the pattern 1, 4, 9, 16 …
n = 100 hundredth term = 1002 = 10 000	substitute n = 100 into n2

[Author]

Posts