Practice nth Term of an AP - 5.3 | 5. ARITHMETIC PROGRESSIONS | CBSE 10 Mathematics
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nth Term of an AP

5.3 - nth Term of an AP

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the 5th term of the AP: 10, 15, 20?

💡 Hint: Use the formula a_n = a + (n-1)d.

Question 2 Easy

Find the 8th term in the sequence: 3, 6, 9.

💡 Hint: What is the common difference?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the nth term of an AP?

a + n*d
a + d*(n-1)
n - a + d

💡 Hint: Think back to the definition of an AP!

Question 2

True or False: The common difference in an AP can be negative.

True
False

💡 Hint: Consider how an AP can decrease.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If the 5th term of an AP is 30, and the common difference is 2, what is the 15th term?

💡 Hint: Use the nth term formula.

Challenge 2 Hard

Can you prove that the sum of the first n terms of an AP can be derived using the formula (n/2)(first term + last term)?

💡 Hint: Rearranging S can help to identify patterns.

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