NDA Maths Mock Test – 01 – Q11

Question:

In an infinite G.P., each term is equal to the sum of all the terms which follow it. The common ratio of this G.P. is

In an infinite G.P., each term is equal to the sum of all the terms which follow it. The common ratio of this G.P. is

Options:

  • 1/4
  • 1/2
  • 2/3
  • 1/3
  • 1/4
  • 1/2
  • 2/3
  • 1/3

Correct Answer: b)

Explanation:

Let the infinite G.P be a, ar, ar?, ar® ……. with first term a and common ratio r
‘ According to the question a = ar + ar? + ar®+……. to co
seer
=1l-r=r
1 . 1
=r=3 !
on !
(d) HP. 1
‘

Let the infinite G.P be a, ar, ar?, ar® ……. with first term a and common ratio r
‘ According to the question a = ar + ar? + ar®+……. to co
seer
=1l-r=r
1 . 1
=r=3 !
on !
(d) HP. 1
‘

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