the sum of first three numbers in arithmetic progression is 18. if the product of first and the third term is 5 times the common difference. find the three numbers
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The terms are either 2,6,10 or 15,6,-3.
Step-by-step explanation:
It is given that the sum of first three numbers in an AP is 18. Product of the first and the third term is 5 times the common difference.
Let first three numbers in the AP are a-d, a, a+d.
Sum of these three terms is 18.
Divide both sides by 3.
The value of a is 6.
The product of the first and the third term is 5 times the common difference.
If the common difference is 4, then
Therefore the first three terms are 2, 6 and 10.
If the common difference is -9, then
Therefore the first three terms are 15, 6 and -3.
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