# A certain amount of bacteria doubles every 10 mins. If the number of bacteria initially was 10 what will be the number of population after 1 hr?

2
by archanaatry

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by archanaatry

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means a=10

its grow double after 1o min interval

means if it is x then after 10 min it should be 2x then 2(2x) then 2(2(2x))) and so on ........... this show that it is in geometric progression

tn=ar^n-1 is formula to calculate number in n position

r=tn+1/tn=2(2x))/2x=2

10 min interval between 60 min.

60/10=6

n=6+1( including initial 0 minute)

n=7

a=10 as we know through question

put all values in above formula

t7=10 X2^7-1

=10X64

=640

answer is 640