Question

4 term are in G.P .the sum of middle term is 10/3and their product is 1 then find that termss??
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Answer 1

Answer:

Step-by-step explanation:

Let the terms be a,ar,ar2,ar3

Product is 1⟹a(ar)(ar2)(ar3)=1

                  ⟹a4r6=1⟹a=r−23​

Sum of middle two terms is 310​⟹ar+ar2=310​

                                                    ⟹ar(1+r)=310​⟹1+r=310​r

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On solving ,we get r=9,91​⟹a=271​,27

the four numbers in G.P. are 271​,31​,3,27