# Arithmetic progression - practice problems

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:

$a_{n}=a_{1}+(n−1)⋅d$

Sum of n AP members:

$s_{n}=n⋅2a_{1}+a_{n} $

#### Number of problems found: 298

- Find all

Find all right-angled triangles whose side lengths form an arithmetic sequence. - The lengths

The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles - The terms

The terms 1/64, 1/32, 1/16 form a geometric progression (GP) If the sum of the GP is (2³6 – 2^-6), find the number of terms - Shopping mall

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10 percent more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the fir - Inspect 5

Inspect the sequence and complete the following statement: seq: 1, 4, 9, 16, 25, 36, 49 The first two numbers differ by a. The second and third numbers differ by b. The third and fourth numbers differ by c. The difference between any two successive number - Deposit for house

The current price of a house is $300000 with prices increasing by 3% each year. A buyer wishes to purchase the house in 5 years time. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to depos - Mr. Cruz

Mr. Cruz borrowed 21,600 euros for 3 years at 16 2⁄3% compounded annually. While Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same rate of interest. Who Pays more and how much? - Interest 71474

I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%? - Including 71274

We used 1533 digits to number the rough book. How many pages does this book have if each page, including page 1, is numbered? - Loan pay back

Imagine a situation a student got access to a student loan of about 1000000 naira to pay all his fees throughout his undergraduate studies without having an extra year. He is expected to pay back the money 5 year after securing a job and it took him 2 1/3 - GP 3 members

Given that 49, X, 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - Mr. Ofori

Mr. Ofori starts a job with an annual salary of 6400, which increases by 240 every year. After working for eight years, Mr. Ofori was promoted to a new post with an annual salary of 9500, which increased by 360 every year. Find I. Mr. Ofori's salary in th - Consecutive 69904

The three numbers that make three consecutive members of an arithmetic sequence have a sum of 60 and a product of 7500. Find these numbers. - Principal 67954

For how long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros? - Triangular numbers

The first four triangular numbers are 1,3,6,10. What is the 10th triangular number? Help: A triangular number or triangle number counts objects arranged in an equilateral triangle. - MP3 player

Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player? - Specific 66124

The numbers are arranged in a specific logical order. Fill in the missing numbers. 5, 8, 16, 15, 18, 36, 35, 38,?,?, - 14 sticks

I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure why I bought it from him, I realized that the set has the incredible property that there are no 3 sticks that c - Interest compounded annually

If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after 10 years? - 2-3-6-15-42- 62474

A series of numbers was created according to a specific key. Uncover it and fill in the last two missing numbers. 2-3-6-15-42-? -?

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