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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

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

Question 2

Easy

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

πŸ’‘ Hint: What is the common difference?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the nth term of an AP?

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

πŸ’‘ 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

πŸ’‘ Hint: Consider how an AP can decrease.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Use the nth term formula.

Question 2

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)?

πŸ’‘ Hint: Rearranging S can help to identify patterns.

Challenge and get performance evaluation