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This question belongs to Arithmetic Ability Progressions
Progressions
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How many terms are there in the GP 5, 20, 80, 320........... 20480?

Answer & Solution
Correct Answer: Option E
Common ratio, r = $$\frac{{20}}{5}$$ = 4
Last term or nth term of GP = arn - 1
20480 = 5 × (4n - 1)
Or, 4n - 1 = $$\frac{{20480}}{5}$$  = 46
So, comparing the power,
Thus, n - 1 = 6
Or, n = 7
Number of terms = 7
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6 Comments
Himanshu Das
Himanshu Das 5 years ago
Plz brothers n-1=6
Lovely Syndai
Lovely Syndai 6 years ago
Yes answer is 7
Bcoz 20480/5=4096=4 to the power 6 not 8
n-1=6
n=7
AMIT CHAUDHARY
AMIT CHAUDHARY 7 years ago
4 to the power 6 = 4096
Shubham Singh
Shubham Singh 8 years ago
Take 4^6 and then solve
Snjay KumR
Snjay KumR 8 years ago
20480 devide by 5 then we get 4096 if we multiple 4 by 6 times then we get the correct answer and answer is 7 how
Siva Rama
Siva Rama 9 years ago
4^6=4096
4^6=4^(n-1)
n-1=6
N=7