If N? = {an : n N}, then N? ? N? = (Here N is the set of natural numbers)

Question

If $N_{a} = {a n : n \in N}$ , then $N_{5} \cap N_{7}$ = (Here $N$ is the set of natural numbers)

Smart Achievers · Accepted Answer

(3)

$N_{a} = {a n : n \in N}$

$N_{5} = {5, 10, 15, 20, 25, \dots}$

$N_{7} = {7, 14, 21, 28, 35, \dots}$

$N_{5} \cap N_{7} = {35, 70, 105, \dots} = N_{35}$

$∴$ $N_{5} \cap N_{7} = N_{35}$

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