What is the defining characteristic of an arithmetic progression?

How is the "common difference" of an arithmetic progression calculated?

Write the first four terms of an arithmetic progression where the first term (a) is 5 and the common difference (d) is -3.

State the formula for the nth term (Tn​) of an arithmetic progression.

Find the 20th term of the arithmetic progression -3, 2, 7, ...

The 5th term of an arithmetic progression is 34 and the 15th term is 9. Which term in this progression is equal to -6?

If the nth term of a sequence is given by the formula Tn​=3n+4, show that the sequence is an arithmetic progression and find its common difference.

State the two different formulas for finding the sum of the first n terms (Sn​) of an arithmetic progression. When is it appropriate to use each one?

Find the sum of all the odd numbers between 2 and 180.

Find the sum of the first 12 terms of the arithmetic progression 67, 65, 63, ...

An arithmetic progression has 16 terms. The first term is 75 and the last term is 0. Find the sum of the progression.

The first term of an arithmetic progression is 12, the last term is 99, and the sum of all the terms is 1665. Find the number of terms and the common difference.

How many terms of the arithmetic progression 13, 11, 9, ... must be added for the sum to equal 40?

In a shop, soap bars are stacked such that the bottom row has 24 bars, the next row up has 21, the next has 18, and so on. If the top row has 3 bars, find the total number of soap bars on the rack.

A father deposits Rs 500 into his daughter's bank account on her 10th birthday. Every month thereafter, he deposits a fixed amount more than the previous month. By her 18th birthday, the total amount deposited (without interest) is Rs 504,000. What is the constant monthly increase in his deposit? (Note: The period is from the 10th to the 18th birthday).