find the increasing arithmetic progression, the sum of whose first three terms is 27 and the sum of their square is 275
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Answer:
the answer is
4,9,12
Step-by-step explanation:
Let the numbers be a−d,a,a+d
so 3a=27⇒ a=9
Also (a−d)
2
+a
2
+(a+d)
2
=293.
3a
2
+2d
2
=293
d
2
=25
⇒ d=±5
therefore numbers are 4,9,14.
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