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SHS Core Mathematics · Year 2

Patterns and Relations Involving Sequences and Series practice questions

Arithmetic and geometric sequences and series, their nth terms and sums, and patterns and relationships between them.

34 questions in this topic: 7 recall, 8 applying skills and concepts, 11 strategic thinking and 8 extended thinking. Every one carries a written explanation.

Sample questions

5 of 34 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Strategic thinking

    Continuing Kofi's sequence with d = 3, substituting into a + 5d = 19 gives the first term as

    • a4
    • b3
    • c19
    • d15
  2. Question 2Strategic thinking

    Using the pairing trick (writing 1+2+...+10 forwards and backwards, giving ten pairs each summing to 11, then halving), the sum of the first 10 natural numbers is

    • a55
    • b110
    • c50
    • d100
  3. Question 3Extended thinking

    Yaba displays milo tins in a pyramid with 15 tins in the bottom row and 1 tin on top, each row having 2 fewer tins than the row below. Using Sₙ = (n/2)(a + l) with n = 8, a = 15 and l = 1, the total number of tins is

    • a64
    • b120
    • c56
    • d16
  4. Question 4Recall

    A sequence in which the DIFFERENCE between any two consecutive terms is constant is called

    • aa linear sequence or arithmetic progression
    • ban exponential sequence or geometric progression
    • ca Fibonacci sequence
    • da sequence of triangular numbers
  5. Question 5Recall

    A sequence becomes a series when

    • athe commas separating the terms are replaced with addition signs, so the terms are summed
    • bthe terms are arranged in reverse order
    • cthe terms are multiplied together
    • da common ratio is introduced

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