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CBSE Class 10 Answered

The sum of the first three numbers in an arithmetic progression is 18. If the product of the first and the third term is 5 times the common difference, find the three numbers.
Asked by suchitra.vatsavayi | 07 Mar, 2019, 03:55: PM
answered-by-expert Expert Answer
Let first three numbers of A.P are (a-d), a and (a+d)
 
sum of the first three numbers = (a-d) + a +(a+d) = 3a = 18  or  a = 6
 
product of first and third term = (a-d)(a+d) = a2 -d2 = 36 -d2 = 5d  or  d2 +5d -36 = 0  or  (d+9)(d-4) = 0
 
hence d = 4  and three numbers are  2, 6, 10
Answered by Thiyagarajan K | 07 Mar, 2019, 04:06: PM

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