Find the \( 4^{th} term\) from the end of the G.P. \(\dfrac{ 1}{2}, \dfrac{1}{6}, \dfrac{1}{18}, \dfrac{1}{54}, … , \dfrac{1}{4374}\)

Asked by Sakshi | 1 year ago |  88

1 Answer

Solution :-

The nth term from the end is given by:

Given: last term, l = \( \dfrac{1}{4374}\)

= \(\dfrac{1}{6} × \dfrac{2}{1}\)

\( \dfrac{1}{3}\)

n = 4

a4 =  \( \dfrac{ \dfrac{1}{4374}}{ (\dfrac{3}{1})^3}\)

= \( \dfrac{1}{4374}\)× 33

= \( \dfrac{1}{4374}\) × 27

\( \dfrac{1}{162}\)

 4th term from last is\( \dfrac{1}{162}\).

Answered by Sakshi | 1 year ago

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