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Maths Predicting What Comes Next: Exploring Sequences & Progress - Class 9 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 9 · Maths · CBSE

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Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress | 10 questions | about 8 minutes

Practise Predicting What Comes Next: Exploring Sequences & Progress - Class 9 with Teachoo's 10 Question MCQ (including Assertion) (Class 9 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
A Sierpiński square carpet begins with \(1\) red square at Stage \(0\). At each stage, every red square is replaced by \(8\) smaller red squares. How many red squares are present at Stage \(4\)?
Early stages of a Sierpiński square carpetStage zero is a solid square. Stage one has the centre ninth removed. Stage two repeats the removal in each retained square.Stage 0Stage 1Stage 2
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Question 2 of 10
An AP has \(50\) terms. Its third term is \(12\) and its fiftieth term is \(106\). What is its \(29\)th term?
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Question 3 of 10
Assertion: The number \(172\) is the \(35\)th term of the sequence \(t_n=5n-3\).
Reason: Solving \(5n-3=172\) gives \(n=\dfrac{175}{5}=35\), which is a natural number.
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Question 4 of 10
Which term of the sequence \(t_n = 5n - 3\) for \(n \ge 1\) is 607?
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Question 5 of 10
Find the \(n^{th}\) term of the GP: 5, 25, 125, ...
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Question 6 of 10
Assertion: A taxi charges a fixed booking fee of ₹200 and ₹40 per kilometre. The fares for journeys of \(1,2,3,\ldots\) km form the AP \(240,280,320,\ldots\), whose \(n\)th term is \(200+40n\).
Reason: Increasing the journey by one kilometre increases the fare by the constant amount ₹40.
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Question 7 of 10
Which term of the GP 2, 6, 18, ... is 4374?
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Question 8 of 10
Assertion: The \(23\)rd term of the AP \(11,7,3,-1,\ldots\) is \(-77\).
Reason: An arithmetic progression may have a negative common difference.
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Question 9 of 10
Identify the next term in the Virahānka-Fibonacci sequence: 1, 2, 3, 5, 8, 13, ...
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Question 10 of 10
Riya saves ₹150 in the first week and increases her weekly saving by ₹25 every week. How much does she save in the \(16\)th week?
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