Question

REASONING A student claims that the next number in the pattern

1, 2, 4,... is 8, because each number shown is two times the previous
number. Is there another description of the pattern that will give the
same first three numbers but will lead to a different pattern? Explain.

Answer 1

No, there is no other description of the pattern that will give the same first three numbers but lead to a different pattern. In the given pattern, each number is two times the previous number.

Step-by-step explanation:

No, there is no other description of the pattern that will give the same first three numbers but lead to a different pattern.

In the given pattern, each number is two times the previous number. This can be seen by multiplying 1 by 2 to get 2, and then multiplying 2 by 2 to get 4. Therefore, the next number should be 4 times 2 which is 8.

If we were to give a different description of the pattern, it would imply a different rule for finding the next number. However, in this case, the rule of multiplying by 2 holds true for all the given numbers, and there is no other rule that will give the same first three numbers.

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