The number of bacteria in a certain food item after each second forms an A.P.
When they double in every second
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Given : The number of bacteria in a certain food item after each second forms an A.P. When they double in every second
To Find : True or False , Is that an AP? Why?
Solution:
Let say in beginning Bacteria
A
After 1 sec = 2A
After 2 sec = 4A
After 3 Sec = 8A
Bacterial
A , 2A , 4A , 8A
AP has common difference between consecutive terms
2A - A = A
4A - 2A = 2A
8A - 4A = 4A
But here difference is not common
Hence This does not form an AP
This is an GP with common Ratio = 2
2A/A = 4A/2A = 8A/4A = 2
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