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When it was 10 days old, a baby elephant ate 5 candies. From then onwa
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24 Mar 2021, 10:01
24 Mar 2021, 10:01
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When it was 10 days old, a baby elephant ate 5 candies. From then onwards, its appetite grew, and each day it ate twice the number of candies it had eaten the previous day. How many candies did the baby elephant eat when it was 14 days old?
(1) 40
(2) 80
(3) 100
(4) 120
(5) 130
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(1) 40
(2) 80
(3) 100
(4) 120
(5) 130
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: When it was 10 days old, a baby elephant ate 5 candies. From then onwa
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24 Mar 2021, 19:23
24 Mar 2021, 19:23
1
10 days old - candies eaten = 5
11 days - 10 candies
12 days - 20 candies
13 days - 40 candies
14 days - 80 candies
Answer B
11 days - 10 candies
12 days - 20 candies
13 days - 40 candies
14 days - 80 candies
Answer B
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When it was 10 days old, a baby elephant ate 5 candies. From then onwa
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24 Mar 2021, 22:44
24 Mar 2021, 22:44
Carcass wrote:
When it was 10 days old, a baby elephant ate 5 candies. From then onwards, its appetite grew, and each day it ate twice the number of candies it had eaten the previous day. How many candies did the baby elephant eat when it was 14 days old?
(1) 40
(2) 80
(3) 100
(4) 120
(5) 130
(1) 40
(2) 80
(3) 100
(4) 120
(5) 130
This is the case of G.P where last term is given by \(T_n = a [r^{n-1}]\)
Here, \(a = 5\) and \(r = 2\)
\(n = 5\) .... (\(10^{th}, 11^{th},12^{th}, 13^{th}, and 14^{th}\) day)
So, \(T_{14} = 5 [2^{5-1}] = 5 [2^4] = 80\)
Hence, option B
