Sequences and Series
Find the sum of first 25 terms of an A.P. whose nth term is 1−4n
Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?
A sum of Rs 1000 is invested at 8% simple interest per year. Calculate the interest at the end of each year. Do these interests form an AP? If so, find the interest at the end of 30 years making use of this fact.
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?
The sums of n terms of two arithmetic progressions are in the ratio 5n+4:9n+6. Find the ratio of their 18thterms.
Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4thby 18.