Question

Ans the following ...........
1) 3 consecutive terms in G.P
2) 4 consecutive terms in G.P
3) 5 consecutive terms in G.P
4) 6 consecutive terms in G.P ​

Answer 1

Step-by-step explanation:

Let the first term of G.P be

.

⇒ second term = a and third term = ar.

(where, r is the common ratio)

∵ sum of three terms is 156

⇒ a3 = 216

⇒ a = 6. ……..(1)

Also,sum of their product in pairs is 216.

………(2)

Substituting (1) in (2), we get-

⇒ 36(1 + r + r2) = 156r

⇒ 36 + 36r + 36r2 = 156r

⇒ 36 -120r + 36r2 = 0

⇒ 12(3r2-10r + 3) = 0

⇒ 3r2-10r + 3 = 0

⇒ 3r2-9r-1r + 3 = 0

⇒ 3r(r-3) -1(r-3) = 0

⇒ (3r-1)(r-3) = 0

Now, G.P will be-

⇒18, 6, 2 or 2, 6, 18 are the three consecutive terms

Answer 2

sex chat pasand hey kya!? if yes, then mark this ans and comment in my ans