(14. Look at this number pattern. 72 - 49 672 = 4489 6672 = 444889 66672 = 44448889 This pattern continues. a) Write down the next line of the pattern. b) Use the pattern to work out 66666672.​

Respuesta :

9514 1404 393

Answer:

  • next line: 66667^2 = 4444488889
  • 6666667^2 = 44444448888889

Step-by-step explanation:

(a)

It appears term n is the square of the digit 7 prepended with (n-1) sixes. That square is n instances of the digit 4, followed by (n-1) instances of the digit 8, followed by the digit 9.

Then the 5th line of the pattern will be ...

  66667^2 = 4444488889

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(b)

The 7th line of the pattern will be ...

  6666667^2 = 44444448888889