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Answer:
The three terms are 2, 9, 16
Step-by-step explanation:
Given, the sum of three consecutive terms in Arithmetic Progression is 27 and their product is 288.
The three consecutive numbers in Arithmetic Progression can be represented as a-d, a, a+d.
Sum; (a-d)+a+(a+d) = 27
3a-d+d = 27
3a = 27
a = 9
Product; (a-d)*a*(a+d) = 288
a*(a²-d²) = 288 [ Because (a-b)*(a+b) = a²-b² ]
a³-ad² = 288
Substituting, a=9,
9³-9*d² = 288
729-9d² = 288
729-288 = 9d²
441 = 9d²
d² = 441/9
d² = 49
d = 7
Therefore, the terms are 9-7, 9, 9+7; which are 2, 9, 16
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Answer:
2. trade
3.3th
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