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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
In the growing pattern below, Stage \(1\) contains \(1\) square and each new stage adds \(4\) corner squares. How many small squares are present at Stage \(12\)?
Growing square patternStages one to four contain one, five, nine and thirteen small squares.Stage 1Stage 2Stage 3Stage 4
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Question 2 of 10
A ball’s successive rebound heights are \(18,13.5,10.125,\ldots\) feet. At which bounce does its maximum height first fall below \(4\) feet?
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Question 3 of 10
An AP consists of 50 terms in which the 3rd term is 12 and the last term is 106. Find the common difference \(d\).
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Question 4 of 10
For an AP, \(t_5=18\) and \(t_{12}=46\). What is \(t_{30}\)?
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Question 5 of 10
The plotted points below represent the first few terms of a sequence, where \(x\) is the term number and \(y\) is the term value. What is the value when \(x=15\)?
Points of an arithmetic progression on a straight linePoints one seven, two ten, three thirteen, four sixteen and five nineteen lie on a straight line.xy(1, 7)(2, 10)(3, 13)(4, 16)(5, 19)
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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
A sequence is given by the recursive rule \(t_1 = -5, t_{n+1} = t_n + 3\) for \(n \ge 1\). What is the 4th term of the sequence?
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Question 8 of 10
Assertion: In a Sierpiński triangle, Stage \(4\) contains \(81\) black triangles and has shaded area \(\left(\dfrac{3}{4}\right)^4\) square units when the Stage \(0\) area is \(1\) square unit.
Reason: A fractal is a pattern that repeats itself at different scales.
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Question 9 of 10
A sequence is defined recursively by \(u_1=2\) and \(u_n=2u_{n-1}+1\) for \(n\ge 2\). What are its first four terms?
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Question 10 of 10
What is the sum of the first \(50\) natural numbers?
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