Arithmetic progression - practice problems - page 9 of 20
Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 394
- Present value
A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years? - Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned? - Andrew
Andrew had an offer for a job starting at 100000 per year and guaranteeing her to raise 10000 a year for the next years. Find her salary for the 4th year. - Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms.
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Find next member
Find x if the numbers from a GP are 7, 49, and x. - Missing term 2
What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875? - Geometric progression If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Insert 4
Insert three arithmetic means between 3 and 63.
- Insert 3 Insert five arithmetic progression members between -7 and 3/2.
- Insert AP member
Insert arithmetic means between 75 and 180. - A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs? - Negative difference Find four arithmetic progression members between 7 and -6.
- Find the mean Find the number between 13 and 29.
- Sum of odd numbers
Find the sum of all odd integers from 13 to 781. - AP members What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
- AP terms What are the four terms of arithmetic progression between numbers 4 and 19?
- This year
This year, 2020, is a leap year. How many leap years had there been since 1904? - Missing term What is the missing term in the sequence? _____, 13, 30, and 47?
Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
