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  Keymaster

  January 1, 2021 at 12:14 pm

  Post count: 1622

  #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

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