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Question

The 5th term of a g.p. is 1/3 and 9th term is 16/243 find its 4th term

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Solution

Fifth term , ar4=13 ...1Ninth term ,ar8=16243 ...2Dividing 2 by 1 , we getar8ar4=1624313r4=1681r=±23Substituting the value of r in 1a±234=13a1681=13a=2716Fourth term ,ar3=2716233=12 on taking r = 23Fourth term ,ar3=2716-233=-12 on taking r = -23

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