Asked in: July 2025 board paperIn an A.P. sum of three consecutive terms is 27 and their product is 504. Complete the following activity to find the terms.Activity :Let three consecutive terms be \(a - d\), \(a\), \(a + d\).\(\therefore a - d + a + a…

Asked in: July 2025 board paper

In an A.P. sum of three consecutive terms is 27 and their product is 504. Complete the following activity to find the terms.

Activity :
Let three consecutive terms be \(a - d\), \(a\), \(a + d\).
\(\therefore a - d + a + a + d = \) ____
\(\therefore a = \) ____
Similarly : \((a - d) \times a \times (a + d) = \) ____
\(\therefore [(9)^2 - d^2] \times 9 = 504\)
\(\therefore (81 - d^2) \times 9 = 504\)
\(\therefore d^2 = 81 - \) ____
\(\therefore d = \pm 5\)
Thus by putting \(a = 9\) and \(d = 5\) we get three consecutive terms = ____
Or by putting \(a = 9\) and \(d = -5\) we get three consecutive terms = ____