✔ An AP is defined by a constant difference added to each previous term.
Q2. Find the 5th term of 2, 5, 8...
✔ Using a=2, d=3, n=5: 2 + (4*3) = 14. Wait, 2+12=14. Let me recheck options.
Q3. What is the common difference in 10, 7, 4?
✔ Subtracting consecutive terms gives 7-10 = -3.
Show transcript
[Slide 1] What is an Arithmetic Progression?
An arithmetic progression is a list of numbers where each term increases by the same amount. Think of climbing stairs where every step is exactly the same height. This constant jump is called the common difference.
[Slide 2] Finding the nth Term Formula
To find any specific number in the sequence, we use a simple formula. Here, 'a' is the first term and 'd' is the common difference. Just plug in the position number 'n' to get your answer.
[Slide 3] Solving a Real Problem Step-by-Step
Let's find the tenth term of the sequence 2, 5, 8. Here, our first term 'a' is 2 and difference 'd' is 3. Substituting n equals ten gives us two plus nine times three.
[Slide 4] Watch Out for Common Errors
Many students forget to subtract one from n in the formula. This small mistake changes your final answer completely. Always remember the pattern starts at zero steps for the first term.
[Slide 5] Quick Recap of Key Points
Remember that a constant difference defines every arithmetic progression. Mastering the nth term formula is crucial for your board exams. Keep practicing to avoid simple calculation mistakes.