Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# Find the 4th Term from the End of the G.P. 1 2 , 1 6 , 1 18 , 1 54 , . . . , 1 4374 - Mathematics

Find the 4th term from the end of the G.P.

$\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, . . . , \frac{1}{4374}$

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#### Solution

$\text { After reversing the given G . P . , we get another G . P . whose first term, l is } \frac{1}{4374} \text { and common ratio is } 3 .$

$\therefore 4^{th} \text { term from the end } = l \left( \frac{1}{r} \right)^{4 - 1}$

$= \left( \frac{1}{4374} \right) \left( 3 \right)^{4 - 1}$

$= \left( \frac{27}{4374} \right)$

$= \frac{1}{162}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 20 Geometric Progression
Exercise 20.1 | Q 8 | Page 10
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