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Question

Question: In a GP, fifth term is 4 , then product of first nine terms is –...

In a GP, fifth term is 4 , then product of first nine terms is –

A

94

B

418

C

49

D

None

Answer

49

Explanation

Solution

T1 . T2 . T3 . T5 . T6. T7 . T8 . T9

= 4r44r34r24r\frac { 4 } { \mathrm { r } ^ { 4 } } \cdot \frac { 4 } { \mathrm { r } ^ { 3 } } \cdot \frac { 4 } { \mathrm { r } ^ { 2 } } \cdot \frac { 4 } { \mathrm { r } } 4 . 4r . 4r2 . 4r3 4r4 = 49