First slide

Geometric progression

Question

If the third term of G.P is 4, then product of first 5 terms.

Moderate

A

1022
B

1023
C

1024
D

1021

Solution

$Given t_{3} = a r^{2} = 4$
Product of first 5 terms = $(a) (a r) (a r^{2}) (a r^{3}) (a r^{4}) = a^{5} r^{10} = {(a r^{2})}^{5} = 4^{5} = 1024$

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