The sum of 3 numbers in an Arithmetic sequence is 12 and the sum of their cubes is 288. Find the numbers.
The sum of 3 numbers in an Arithmetic sequence is 12 and the sum of their cubes is 288. Find the numbers.
TheMiralce123 , 6 Years ago
Grade 10
10 grade maths> The sum of 3 numbers in an Arithmetic seq...
1 Answers
Rajat
Let the numbers be a-d, a, a+d
So, 3a= 12
Or, a= 4
(4-d)^3+64+(4+d)^3=288
Or, 24d^2= 96
Or, d^2 = 4
Or, d= ±2
Numbers are
2,4,6
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