Class 11

Math

Algebra

Sequences and Series

Find the two numbers whose A.M. is 25 and GM is 20.

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Find the value of n so that $a_{n}+b_{n}a_{n+1}+b_{n+1} $may be the geometric mean between a and b.

The Fibonacci sequence is defined by $1=a_{1}=a_{2}$ and $a_{n}=a_{n−1}+a_{n−2},n>2$. Find $a_{n}a_{n+1} ,$for n = 1, 2, 3, 4, 5.

If A.M. and GM. of two positive numbers a and b are 10 and 8, respectively find the numbers.

In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.

If the sum of n terms of an A.P. is $3n_{2}+5n$ and its mth term is 164, find the value of m.

The number of bacteria in a certain culture doubles every hour. If there were 60 bacteria present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour?

The income of a person is Rs. 3, 00,000, m the first year and he receives an increase of Rs. 10.000 to his income per year for the next 19 years. Find the total amount, he received m 20 years.

Shamshad Ali buys a scooter for Rs. 2200. He pays Rs. 4000 cash and agrees to pay the balance in annual instalments of Rs. 1000 plus 10% interest on the unpaid amount. How much the scooter will cost him?