The numbers in the form 3k pm 1 (k in Z) are | vedclass

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(D) The form $3k$ $(k \in Z)$ represents integers that are multiples of $3$,such as $\ldots, -9, -6, -3, 0, 3, 6, 9, 12, \ldots$.By adding $1$ or subt

Vedclass · Accepted Answer

not divisible by $3$

Vedclass · Answer

(D) The form $3k$ $(k \in Z)$ represents integers that are multiples of $3$,such as $\ldots, -9, -6, -3, 0, 3, 6, 9, 12, \ldots$.By adding $1$ or subtracting $1$ from these multiples of $3$,we obtain numbers of the form $3k + 1$ or $3k - 1$.Since $3k$ is divisible by $3$,any number of the form $3k \pm 1$ will leave a remainder of $1$ or $2$ when divided by $3$.Therefore,these numbers are not divisible by $3$.

The numbers in the form $3k \pm 1$ $(k \in Z)$ are $\ldots \ldots \ldots . .$

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