Question

OR
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.​

Answer 1

Answer:

I don't know the answer

Answer 2

Answer:

2 , 6 , 10

Step-by-step explanation:

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