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 =…

Q.3 (A)(i) 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 = ____