Start learning →

IIFT Sequences and Series — practice questions

Explore 71 free Sequences and Series questions in IIFT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Sequences and Series with Quill →

Sequences and Series questions and exercises with answers

Showing questions 1–30 of 71.

Spot the term that breaks the progressionRead the answer and worked solution →Next Term in Sequence (ISC 12)Read the answer and worked solution →Match each series word to its meaningRead the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: the multiplication ruleRead the answer and worked solution →True or false: the Historical NoteRead the answer and worked solution →Sort each statement by which idea it describesRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →

Worked practice questions

Spot the term that breaks the progression

Read exercise and reference answers
Questions
  1. Items
    1. 9
    2. 2
    3. 4
    4. 6
    5. 10
    Reason
    9 breaks the arithmetic progression with common difference 2.
    Odd item
    9
  2. Items
    1. 3
    2. 50
    3. 6
    4. 12
    5. 24
    Reason
    50 breaks the geometric progression with ratio 2 (should be 48).
    Odd item
    50
  3. Items
    1. 1
    2. 1/2
    3. 1/15
    4. 1/4
    5. 1/8
    Reason
    1/15 breaks the GP with ratio 1/2 (should be 1/16).
    Odd item
    1/15

Open this exercise →

Next Term in Sequence (ISC 12)

Read exercise and reference answers
Questions
  1. Question
    2, 4, 6, 8, ...
    Correct
    10
    Choices
    1. 10
    2. 12
    3. 9
  2. Question
    3, 6, 12, 24, ...
    Correct
    48
    Choices
    1. 48
    2. 36
    3. 30
  3. Question
    1, 4, 9, 16, ...
    Correct
    25
    Choices
    1. 25
    2. 20
    3. 24
  4. Question
    1, 1, 2, 3, 5, ...
    Correct
    8
    Choices
    1. 8
    2. 7
    3. 6
  5. Question
    5, 10, 15, 20, ...
    Correct
    25
    Choices
    1. 25
    2. 30
    3. 22
Instructions
Pick the next term in each sequence.

Open this exercise →

Match each series word to its meaning

Read exercise and reference answers
Matching pairs
  1. Left
    Common difference
    Right
    Added on to get the next term
  2. Left
    Constant ratio
    Right
    Multiplied by to get the next term
  3. Left
    Series
    Right
    The sum of the terms of a sequence
  4. Left
    Convergent series
    Right
    Its running total settles on one value
  5. Left
    Divergent series
    Right
    Its running total has no limit
  6. Left
    Sigma notation
    Right
    A compact way of writing a sum
Instructions
Tap a word on the left, then tap the meaning on the right that belongs with it.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 1: Sequences and series_

Open this exercise →

How to practise

  1. Choose a Sequences and Series question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Binomial TheoremGeometryProbability & StatisticsSequencesPermutations and CombinationsSequences and Series GpCorrelation and RegressionLinear Programming