Library
Flashcards
Mathematics
Year 10
Arithmetic Progressions
AI-generated flashcards
12 cards
NotePlus
Preview
What is an arithmetic progression (AP)?
An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant.
What is the value of the 10th term of the AP: 2, 5, 8, ...?
The 10th term is calculated as $a_{10} = 2 + (10 - 1) \cdot 3 = 29$.
What is the sum of the first n terms of an AP?
The sum (S_n) of the first n terms can be calculated using the formula: $S_n = \frac{n}{2} (a_1 + a_n)$ or $S_n = \frac{n}{2} (2a_1 + (n - 1)d)$.
+ 9 more cards — study free to see them all
