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Study the pattern : {:(1xx8+1=9,1234xx...

Study the pattern :
`{:(1xx8+1=9,1234xx8+4=9876),(12xx8+2=98,12345xx8+5=98765),(123xx8+3=987,):}`
Write the next two steps. Can you say how the pattern works?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given pattern and find the next two steps. ### Step-by-Step Solution: 1. **Identify the Pattern**: - The first part of each equation consists of a sequence of numbers multiplied by 8. - The second part is a number added to the product of the multiplication. - The result is a decreasing sequence of digits starting from 9. 2. **Write the first two steps based on the pattern**: - The first step is `1 x 8 + 1 = 9` - The second step is `12 x 8 + 2 = 98` - The third step is `123 x 8 + 3 = 987` - The fourth step is `1234 x 8 + 4 = 9876` - The fifth step is `12345 x 8 + 5 = 98765` 3. **Continuing the Pattern**: - For the sixth step, we take `123456 x 8 + 6`. - Calculation: - \( 123456 \times 8 = 987648 \) - \( 987648 + 6 = 987654 \) - Therefore, the sixth step is `123456 x 8 + 6 = 987654`. 4. **Next Step**: - For the seventh step, we take `1234567 x 8 + 7`. - Calculation: - \( 1234567 \times 8 = 9876544 \) - \( 9876544 + 7 = 9876551 \) - Therefore, the seventh step is `1234567 x 8 + 7 = 9876551`. ### Final Answer: The next two steps in the pattern are: - \( 123456 \times 8 + 6 = 987654 \) - \( 1234567 \times 8 + 7 = 9876551 \)
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