Study the pattern:
$1 \times 8 + 1 = 9 12 \times 8 + 2 = 98 123 \times 8 + 3 = 987 1234 \times 8 + 4 = 9876$

$12345 \times 8 + 5 = 98765$

Which of the following will be the next steps ?

Subtopic How are expressions formed?

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123456 \times 8 + 6 = 987654

1234567 \times 8 + 7 = 9876543

12345678 \times 8 + 8 = 98765432

All of the above

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Detailed Solution

Concept: We see that both the number on the right-hand side of the equation and the left-sided multiplicand are adding new digits to the location where the unit should be.
The left-sided multiplicand on the left-hand side of the equation shifts to the left by one position in all equations but the first one, adding a new digit to its unit place that is one more than the digit at the previous unit place.
As a result, the value of 123 in the first equation becomes 1234 in the second.
In an equation, the right-sided addend on the left side increases by one from the right-sided addend in the previous equation.
This implies that the 2 in the first equation becomes the 3 in the second.
The number on the right-hand side of the equation also shifts one place to the left and adds a new digit to its unit place that is one less than the digit at the previous unit place.
As a result, the value of 987 in the first equation becomes 9876 in the second.
We create the next four equations in the series after identifying this pattern in the earlier equations.
Since we previously had

1, 2, 3, 4, 5 in the fifth s

tep of the pattern, the sixth step of the equation will have

1, 2, 3, 4, 5, 6,

and the subsequent addend will rise by 1.
Additionally, the outcome from the fifth step is already 98765, a[24]nd the outcome from the sixth step will be