MCQ
In a G.P., 5th term is 27 and 8th term is 729. Find its 11th term.
  • A
    729
  • B
    2187
  • C
    6561
  • D
    19683

Answer

  1. 19683

Solution:

Given, a5 = 27 and a8 = 729.

⇒ ar4 = 27 and ar7 = 729

On dividing we get, r3 = 27 ⇒ r=3

$\Rightarrow\text{a}=\frac{23}{(3^4)}=\frac{1}{3}$

$\Rightarrow\text{a}_{11}=\text{a}^{10}$

$=(\frac{1}{3})(3^{10})=39=19683$

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