Write the next three steps of pattern 111 - 3 - 37 222 - 6 - 37 333 - 9 - 37

444÷ 12=37 555÷ #160; 15=37 666÷ #160; 18=37 ...

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Disjoint Sets

write the nex...

Question

write the next three steps of pattern $\begin{matrix} 111 \div 3 = 37 222 \div 6 = 37 333 \div 9 = 37 \end{matrix}$

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Solution

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1 * 8 + 1 = 9

12 * 8 + 2 = 98

123 * 8 + 3 = 987

1234 * 8 + 4 = 9876

12345 * 8 + 5 = 98765

12345 = 11111 + 1111 + 111 + 11 + 1

Study the pattern:

1 × 8 + 1 = 9 1234 × 8 + 4 = 9876

12 × 8 + 2 = 98 12345 × 8 + 5 = 98765

123 × 8 + 3 = 987

Write the next two steps. Can you say how the pattern works?

(Hint: 12345 = 11111 + 1111 + 111 + 11 + 1).

1 \times 8 + 1 = 9

12 \times 8 + 2 = 98

123 \times 8 + 3 = 987

1234 \times 8 + 4 = 9876

12345 \times 8 + 5 = 98765

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