Q29 of 36 Page 161

Fill in the blanks

The third term of a G.P. is 4, the product of the first five terms is ................ .


Given: Third term of a G.P, T3 = 4

∴ ar2 = 4 …(i)


To find: Product of first five terms


So, First five terms are a, ar, ar2, ar3 and ar4


∴ Product of first five terms = a × ar × ar2 × ar3 × ar4


= a5r1+2+3+4


= a5r10


= (ar2)5


= (4)5 [from (i)]


Ans. The third term of a G.P. is 4, the product of the first five terms is (4)5


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