KnowledgeBoat Logo

Mathematics

The common ratio of a G.P. is 2 and its 6th term is 48. The first term is :

  1. 32\dfrac{3}{2}

  2. 23\dfrac{2}{3}

  3. 1

  4. 2

AP GP

1 Like

Answer

Given,

Common ratio of G.P. (r) = 2

By formula,

⇒ an = arn - 1

Given,

6th term of G.P. is 48.

⇒ a6 = 48

⇒ a × (2)6 - 1 = 48

⇒ a × 25 = 48

⇒ 32a = 48

⇒ a = 4832=32\dfrac{48}{32} = \dfrac{3}{2}.

Hence, Option 1 is the correct option.

Answered By

1 Like


Related Questions