Adaptive Practice
Sequences - Applications
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Question 1 of 10
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Easy
A company offers a starting salary of ₹20,000 with an annual increment of ₹1,500. What will be the salary in the 10th year?
Easy
The population of a village grows such that each year it becomes 5% more than the previous year. If the current population is 10,000, what will be the population after 3 years?
Medium
A ball is dropped from a height of 10 m and each time it bounces back to 60% of the previous height. Find the total distance covered by the ball until it comes to rest.
Medium
The 7th term of an arithmetic progression is 26 and the 15th term is 50. What is the first term?
Hard
A geometric progression has a sum of first 5 terms as 242 and the first term is 3. If the common ratio is positive, find the common ratio.
Easy
A sum of ₹10,000 is invested at compound interest at 8% per annum compounded annually. Find the amount after 3 years.
Hard
The sum of the first n terms of an arithmetic progression is given by Sₙ = 3n² + 2n. Find the first term and the common difference.
Easy
A student solves problems in a sequence such that the number of problems solved on the nth day is double the number solved on the (n-1)th day. If the student solves 2 problems on the first day, how many problems does he solve on the 6th day?
Medium
The sum of an infinite geometric series is 12 and the sum of the first two terms is 9. Find the first term.
Hard
A sequence is defined by a₁=2 and aₙ₊₁ = 3aₙ + 4. Find the explicit formula for aₙ.