Question

The third term of a gp is 4. Find the product of its first five terms

Answer 1

the answer is 1024
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hi0e it helps

Answer 2

Let a be the first term of the gp and r be the common ratio .

T3 = 4 => ar3-1 => ar2 = 4

Product of the first five terms = t1×t2×t3×t4×t5

= a × ar × ar2 × ar3 × ar4

= a5.r1 +2+3+4 = a5.r10

= (ar2)5 = (4)5 = 1024

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