Lesson 4.4.1

4.4.1 Arithmetic sequences and series Quiz: Pearson Edexcel Maths, Unit 4

20 questions

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Lesson 4.4.1, Arithmetic sequences and series: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 4: Sequences and series, written with Revision Ninja.

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The 20 questions

  1. What is the standard formula for the nth term of an arithmetic sequence?

    • ar^(n - 1)
    • a + nd
    • a + (n - 1)d
    • ar^n

  2. Which letter conventionally represents the common difference in an arithmetic sequence?

    • r
    • d
    • n
    • S

  3. What does the letter a represent in standard arithmetic sequence notation?

    • First term
    • Common difference
    • Sum to n terms
    • Number of terms

  4. Which letter denotes the number of terms being summed in a series formula?

    • k
    • x
    • n
    • l

  5. What is the formula for the sum of the first n terms of an arithmetic series using the last term l?

    • (n/2)(a + l)
    • (n/2)(a - l)
    • n(a + l)
    • n/2(a + l - d)

  6. What is the alternative sum formula for an arithmetic series containing a and d?

    • (n/2)(a + nd)
    • n(a + (n - 1)d)
    • n(2a + nd)
    • (n/2)(2a + (n - 1)d)

  7. An arithmetic sequence has first term 3 and common difference 4. What is the 5th term?

    • 19
    • 15
    • 27
    • 23

  8. Find the common difference of the arithmetic sequence: 5, 9, 13, 17, ...

    • 4
    • 3
    • 9
    • 5

  9. What is the 10th term of an arithmetic sequence starting at 2 with common difference 3?

    • 30
    • 27
    • 29
    • 32

  10. An arithmetic sequence has 3rd term 11 and 7th term 27. What is the common difference?

    • 4
    • 3
    • 2
    • 5

  11. Find the first term of an arithmetic sequence with 5th term 22 and common difference 4.

    • 2
    • 10
    • 6
    • 18

  12. What is the sum of the first 10 integers from 1 to 10 inclusive?

    • 45
    • 60
    • 50
    • 55

  13. Find the sum of the arithmetic series: 2 + 5 + 8 + ... up to 10 terms.

    • 145
    • 165
    • 155
    • 140

  14. How many terms are in the finite arithmetic sequence 7, 10, 13, ..., 58?

    • 20
    • 19
    • 17
    • 18

  15. What is the 50th term of the arithmetic sequence 1, 3, 5, 7, ...?

    • 97
    • 101
    • 100
    • 99

  16. Find the middle term of the arithmetic sequence 4, 7, 10, ..., 34.

    • 18
    • 19
    • 16
    • 22

  17. If the sum of the first n terms is S_n = 3n^2 + 2n, what is the first term S_1?

    • 2
    • 5
    • 3
    • 6

  18. Given S_n = 3n^2 + 2n, what is the second term u_2 of the sequence?

    • 14
    • 11
    • 7
    • 8

  19. What is the common difference if the nth term is given by u_n = 5n - 2?

    • -2
    • 2
    • 3
    • 5

  20. What is the 20th term of the arithmetic sequence starting at 5 with common difference 3?

    • 60
    • 59
    • 62
    • 65

All Pearson Edexcel Maths quizzes