Question

if the nth term of the a.p.9,7,5,............is same as the nth term of the a.p. 15,12,9,.........find n.

Answer 1

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Answer 2

Answer:

• Required Value of n is 7.

Step-by-step explanation:

It is given that nth term of the A.P. 9, 7, 5, ... is same as the nth term of the A.P. 15, 12, 9,. It means Tn = Pn.

By Given Condition, We have:

Tn = a + ( n -1)d

Tp = a + ( n -1)d

⇒ Tn = Tn

⇒ a + ( n -1)d = a + ( n-1)d

⇒ 9 + ( n - 1)-2= 15 + ( n -1)-3

⇒ 9 - 2n + 2 = 15 - 3n + 3

⇒ 11- 2n = 18 - 3n

⇒ 11 - 18 = -3n + 2n

⇒ - 7 = - n

⇒ n = 7

•°• Therefore, Required Value of n is 7.