Question

in an arithmetic progression the sum of the three terms is 24 ,and their product is 480, write three terms of the arithmetic progression​

Answer 1

Answer:

please mark it brainliesst

Step-by-step explanation:

6 , 12 , 6

Answer 2

Let the numbers be a-d, a and a+d;

According to first condition,

$⇒a - d + a + a + d = 24 \\ \\ ⇒ 3a = 24 \\ \\ ⇒ a = 8$

According to second condition,

$⇒( a - d) (a) (a +d) = 504 \\ \\ ⇒ a ( a^2 - d^2) = 504 \\ \\ ⇒ 8 [ (8)^2 - (d)^2] = 504 \\ \\ ⇒64 - d^2 = 63 \\ \\ ⇒ d^2 = 1 \\ \\ ⇒d = 1$

• ⇝First number = 8 - 1 = 7
• ⇝Second number = 8
• ⇝Third number = 8 +1 = 9

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