Question
Let denote the set of all the term of an infinite arithmetic progression with first term and common difference . If then equals
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Text solutionVerified
First series is
Second series is
Third series is
See the least number in the third series which leaves remainder on dividing by and leaves remainder on dividing by 5.
is the least number of third series which leaves remainder on dividing by and leaves remainder on dividing by
Now,
is L.C. M. of
.
Second series is
Third series is
See the least number in the third series which leaves remainder on dividing by and leaves remainder on dividing by 5.
is the least number of third series which leaves remainder on dividing by and leaves remainder on dividing by
Now,
is L.C. M. of
.
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Question Text | Let denote the set of all the term of an infinite arithmetic progression with first term and common difference . If then equals |
Answer Type | Text solution:1 |
Upvotes | 150 |