A school divided to conduct a seminar for small children highlighting the importance of keeping cleaniness at home and at workplace and also personal hygenic to keep bacteria at by as excessive increase in the number of certain bacteria in a certain culture double every hour. If there were 30 bacteria, present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour? What value is being highlighted in the seminar?

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Solution

Number of bacteria present in the culture, from a GP whose first term a = 30 and common difference r = 2.
Bacteria present after 2nd hour
$= a^{2} = 30 \times (2)^{2} = 30 \times 4 = 120$ Bacteria present after 4th hour
$= a r^{4} = 30 \times (2)^{n} = {30.2}^{n}$
The value is being highlighted in this seminar is the importance of cleanliness.

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Number of bacteria present in the culture, from a GP whose first term a = 30 and common difference r = 2. Bacteria present after 2nd hour =a2=30×(2)2=30×4=120 Bacteria present after 4th hour =ar4=30×(2)n=30.2n The value is being highlighted in this seminar is the importance of cleanliness.