Arithmetic Progressions

Class 10 Maths: arithmetic progressions

Pick a first term and a common difference and watch the pattern grow. Check the nth-term and sum formulas.

Words to know

Arithmetic progression
A list where you add the same number each time, like 3, 5, 7, 9.
First term (a)
The starting number.
Common difference (d)
The amount added each time; it can be negative.
nth term
aₙ = a + (n − 1)d.

Quick check

Answer 3 questions to check what you learned.

1. What is the 10th term of 2, 5, 8, 11, …?
2. What is 1 + 2 + 3 + … + 10?
3. In 20, 17, 14, 11, …, the common difference is…

Try at home

Stack coins: 1 in the first pile, 3 in the second, 5 in the third. How many in the 10th pile? How many coins in all 10 piles?

Next, try a full lab