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AP - Sum Formula Applications

Maths · Grade 10 · Week 19 · 25 questions

An arithmetic progression is a sequence where each term increases by a fixed amount. Understanding APs helps you find patterns in sequences, calculate sums, and solve practical problems.

What you'll practise

  • Find the common difference in an AP
  • Calculate the nth term of an AP
  • Find the sum of n terms
  • Apply AP concepts to word problems
All 25 questions in this AP - Sum Formula Applications quiz

Grade 10 Maths — AP - Sum Formula Applications: 25 practice questions with instant scoring and explanations.

  1. How many terms of the AP 6, 12, 18, ... must be taken so that their sum is 630?
  2. How many terms of the AP 1, 5, 9, ... must be taken so that their sum is 325?
  3. How many terms of the AP 2, 7, 12, ... must be taken so that their sum is 632?
  4. How many terms of the AP 9, 12, 15, ... must be taken so that their sum is 264?
  5. How many terms of the AP 4, 11, 18, ... must be taken so that their sum is 1410?
  6. How many terms of the AP 5, 9, 13, ... must be taken so that their sum is 860?
  7. How many terms of the AP 10, 14, 18, ... must be taken so that their sum is 874?
  8. How many terms of the AP 4, 7, 10, ... must be taken so that their sum is 650?
  9. How many terms of the AP 2, 10, 18, ... must be taken so that their sum is 380?
  10. How many terms of the AP 9, 17, 25, ... must be taken so that their sum is 450?
  11. How many terms of the AP 4, 9, 14, ... must be taken so that their sum is 442?
  12. How many terms of the AP 7, 10, 13, ... must be taken so that their sum is 646?
  13. How many terms of the AP 7, 8, 9, ... must be taken so that their sum is 132?
  14. How many terms of the AP 7, 14, 21, ... must be taken so that their sum is 952?
  15. How many terms of the AP 7, 10, 13, ... must be taken so that their sum is 420?
  16. How many terms of the AP 5, 12, 19, ... must be taken so that their sum is 611?
  17. How many terms of the AP 7, 12, 17, ... must be taken so that their sum is 243?
  18. How many terms of the AP 2, 3, 4, ... must be taken so that their sum is 230?
  19. How many terms of the AP 10, 14, 18, ... must be taken so that their sum is 570?
  20. How many terms of the AP 7, 11, 15, ... must be taken so that their sum is 207?
  21. How many terms of the AP 6, 13, 20, ... must be taken so that their sum is 1179?
  22. How many terms of the AP 8, 10, 12, ... must be taken so that their sum is 294?
  23. How many terms of the AP 9, 14, 19, ... must be taken so that their sum is 833?
  24. How many terms of the AP 8, 12, 16, ... must be taken so that their sum is 920?
  25. How many terms of the AP 8, 12, 16, ... must be taken so that their sum is 416?
Question 1 of 250 correct so far

How many terms of the AP 6, 12, 18, ... must be taken so that their sum is 630?

Week 18: AP - Sum of n TermsWeek 20: AP - Mixed Problems