The sum of the three numbers that make up the arithmetic progression is 27, and the product of the first
| June 24, 2021 | education
The sum of the three numbers that make up the arithmetic progression is 27, and the product of the first and second 108 find these numbers.
The common term of the arithmetic progression is an = a1 + d (n – 1).
S3 = a1 + a2 + a3 = a1 + (a1 + d) + (a1 + 2 d) = = 3 (a1 + d) = 27;
a1 + d = 9.
a1 a2 = a1 (a1 + d) = 9 a1 = 108;
a1 = 12;
d = – 3.
The values of the three numbers of the arithmetic progression:
a1 = 12; a2 = 9; a3 = 6.
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