Question

The sum of three consecutive terms that are in AP is 27 and their product is 288.find the AP

Answer 1

Step-by-step explanation:

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Answer 2

Let the number be a - d , a , a + d .

GIVEN that

• a - d + a + a + d = 27
• (a - d) × a × (a + d) = 288

Solving First eqn. , we get

• 3a = 27
• a = 9

Putting value of a = 9 in second eqn. we get

• (9 - d) × 9 × (9 + d) = 288
• (9)² - (d)² = 32
• d² = 81 - 32
• d² = 49
• d = ±7

THREE TERMS ARE

• 2 , 9 , 16
• or
• 16 , 9 , 2