The number of bacteria in a certain cult...

The number of bacteria in a certain culture doubles 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?

Text Solution

Verified by Experts

The correct Answer is:

`30xx2^(n)`

Topper's Solved these Questions

SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise ILLUSTRATIVE EXAMPLES|27 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise EXERCISE 9 (a) SATQ|5 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise Chapter Test|11 Videos
SETS
MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

The number of bacteria in a certain culture doubles every hour. If there were 50 bacteria present in the culture originally, how many bacteria would be present at the end of (i) 2nd hour, (ii) 5th hour and (iii) nth hour ?

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. Given the number triples in 5 hrs., find how many bacteria will be present after 10 hours. Also find the time necessary for the number of bacteria to be 10 times the number of initial present. [Given log_e3=1. 0986 , e^(2. 1972)=9 ]

If a bacterium cell divides it every 20 minutes, how many bacteria will be formed in two hours?

The rate of increase of the bacteria in a culture is proportional to the number of bacteria present and it is found that the number doubles in 6hours.Prove that the bacteria becomes xx at the end of 18 hours.

The rate of increase in the number of bacteria in a certain culture is propotional to the number present at that time. After 2 hours there are 600 bacteria and after 8 hours the count is 75000, then the population will be 200000 after

The rate of increases of bacteria in a certain culture is proportional to the number present. If it doubles in 5 hr.then in 25 hr.its number would be

The rate of increase in the number of bacteriad in a certain bacteria culture is propotional to the number present at that time. After 2 hours there are 600 becteria and after 8 hours the count is 75000, then the initial population is

MODERN PUBLICATION-SEQUENCES AND SERIES-FAQs

Prove that the product of first n terms of a G.P. whose first term is ...
Text Solution
|
The number of crimes in a locality doubles every month. If there were ...
Text Solution
|
The number of bacteria in a certain culture doubles every hour. If ...
Text Solution
|
Evaluate : sum(i=1)^(10){(1/2)^(j-1)+(1/5)^(j+1)}
Text Solution
|
Find the sum of first n terms and the sum of first 5 terms of the geo...
Text Solution
|
Determine the number of terms in G.P. <<an>>,ifa1=3,an=96a n dSn=189.
Text Solution
|
The sum to n terms of the series 11+103+1005+"…." is
Text Solution
|
Find the sum of n terms of the series (a + b) + (a^2 + 2b) + (a^2 + 3b...
Text Solution
|
Find the sum to n terms of the series: (x+1/x)^(2)+(x^(2)+1/(x^(2)))^(...
Text Solution
|
Find the least value of n for which the sum 1+3+3^2+ ton terms is grea...
Text Solution
|
Find the sum to n terms of the series 4+44+4444+cdots
Text Solution
|
Find the sumiof 50 terms of a sequence 7,7.7,7.77,7.777.
Text Solution
|
If S(n) denotes the sum fo n terms of a G.P. whose first term and comm...
Text Solution
|
If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...
Text Solution
|
A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...
Text Solution
|
An insect starts from a point and travels in a straight path 1 mm in t...
Text Solution
|
Verify that 10,-9,8.1…………… is a geometric progression. Find the sum to...
Text Solution
|
Find the sum to infinity of the G.P. -3/4,3/16,-3/64,………..
Text Solution
|
Prove that:3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3
Text Solution
|
The first term of G.P. is 2 and the sum to infinity is 6. Find the com...
Text Solution
|