Sequences and Series

Maths, HSSC-Punjab First Year. This chapter is split into 50 topics and has 1,210 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Geometric progression: choosing terms and word problems 24 questions
2. Geometric series: the formula and sums of n terms 24 questions
3. Recursively defined sequences 24 questions
4. Inserting n arithmetic means 25 questions
5. A.M., G.M. and H.M. relations 24 questions
6. Exercise 6.10: special series and sums of products 24 questions
7. Geometric progression: definition and common ratio 24 questions
8. Real life: arrivals and simple interest (A.P. models) 24 questions
9. Geometric progression: finding terms from given terms 24 questions
10. Summing series from the kth term (Examples 25-26) 24 questions
11. Arithmetico-geometric progression: definition and nth term 24 questions
12. Infinite geometric series and convergence 24 questions
13. Harmonic mean between two numbers 24 questions
14. Geometric progression: properties 24 questions
15. Arithmetic progression: definition and common difference 24 questions
16. Arithmetic series: sum given as S(n) and alternating series 24 questions
17. Inserting n geometric means 24 questions
18. Real life: leasing, grid design and other applications 24 questions
19. Arithmetic progression: finding terms from given terms 25 questions
20. Arithmetic progression: number of terms and membership 25 questions
21. Geometric mean between two numbers 24 questions
22. Arithmetic progression: conditions and exercise proofs 24 questions
23. Arithmetic progression: selection of terms and effect of operations 24 questions
24. Exercise 6.11: applications problems 24 questions
25. Sigma notation and properties of summation 24 questions
26. Geometric progression: the nth term 24 questions
27. Geometric progression: exercise 6.5 proofs and problems 24 questions
28. Harmonic progression: Exercise 6.9 conditions and proofs 24 questions
29. Arithmetic progression: the general term 25 questions
30. Nth term from a pattern and next terms 25 questions
31. Harmonic progression: terms from given terms 24 questions
32. Arithmetic mean between two numbers 25 questions
33. Geometric progression: number of terms and conditions 24 questions
34. Geometric series: finding missing quantities 24 questions
35. Arithmetico-geometric series: sum of n terms 24 questions
36. Terms of a sequence from its general term 25 questions
37. Harmonic progression: definition and nth term 24 questions
38. Arithmetic series: finding the sum of n terms 25 questions
39. Arithmetic series: finding the missing quantity 24 questions
40. Real life: compound interest and growth (G.P. models) 24 questions
41. Sequence: definition and terminology 25 questions
42. Geometric series: special series and applications 24 questions
43. Arithmetic progression: nth term from the end and middle terms 25 questions
44. Inserting n harmonic means 24 questions
45. The sums of k, k squared and k cubed 24 questions
46. Arithmetic series: sums of integers, multiples and ranges 24 questions
47. Arithmetic series: word problems and numbers from sums 24 questions
48. Relations between the A.M. and G.M. 24 questions
49. Series, partial sums and the arithmetic series formula 24 questions
50. Arithmetico-geometric series: sum to infinity 24 questions