Question

The number of bacteria in a certain culture double every hours,If there were 30 bacteria Present in the culture originally,How bacteria will be present at the end of 2nd hour.4 hour and Nth hour.​

Answer 1

$\huge\bold\red{Answer:-}$

Is it given that the number of bacteria double every hour.

$\huge\bold\red{Therefore,}$

The number of bacteria after every hour will from a G.P.

$\huge\bold\red{Here:-}$

a = 30 and r = 2 ∴

$a3 = {ar}^{2} \: = (30) {(2)}^{2} = 120$

$\huge\bold\red{Therefore,}$The number of bacteria at the end of 4th hour will be 480

an + 1 = ar^n = (30) 2^n

$\huge\bold\red{Thus,}$

$number \: of \: becteria \: at \: the \: end \: the \: {n}^{th} </p><p>hour \: will \: ne \: 30 {(2)}^{n}$

Answer 2

Answer:

· If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour ... Our sequence is 30, 60, 120 ..