The third term of a G.P is 10. Then the product of first five terms id
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Explanation:
Let the common ratio be r and the terms be a,ar,ar2,ar3,ar4
and so on in G.P.
Also, given that the third term is 19
⇒ar2
=100 ...(1)
Therefore, the product of the first five term is given by,
a⋅ar⋅ar2.ar3.ar4.=ar5
a⋅ar⋅ar2.ar3.ar4.=ar5
From equation (1), substitute ar
2
=100; we get
a⋅ar⋅ar2.ar3.ar4.=ar5
Thus, the product of the first five term is
10*5
.
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