3,8,13 is an arithmetic sequence a, Will the difference between any two terms of this sequence be 60?Why?
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Answer:it is given that, 3, 8 , 13 is an arithmetic sequence . answer : of course, yes! as we can see common difference of sequence is 5 which is a prime factor of 60. hence, difference between 13th term and first term will be 60
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a= 3 , d = 8-3 = 5
5 is a prime factor of 60
so difference of first term and 13 th term is 60
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