The product 2 1 4 ∙ 4 1 16 ∙ 8 1 48 ∙ 16 1 128 ∙ . . . . to ∞ is equal to:

The product 214∙4116∙8148∙161128∙.... to ∞ is equal to:
  1. 212
  2. 214
  3. 1
  4. 2

Solution

214+216+348+……….∞
S=214+18+116+…..∞  ....i

∴14+18+116+...∞is an infinite G.P with  a=14, r=12 

S∞=a1-r=12

Using equation i, S=2

Asked in: JEE Main 2020 (09 Jan Shift 1)

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