Why is set theory so prevalent in so much of mathematics?

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Kishore Kumar

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The set theory has got many applications in various fields which is difficult to comprehend at schil level. 1) economics 2) business strategy in segmenting market Now in data analytics is mostly build on set theory in predicting trend
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Find the number of terms of the A.P: 7, 13, 19, ...., 205?
The first term, t1=a = 7. The common difference, b=13 - 7=6. Last term or the nth term, tn=a + (n-1)b = 205. So, we have, 7 + (n - 1)6 = 205 --> (n - 1) = (205 - 7)/6 = 33 --> n = 34. Answer: Number of terms is 34.
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