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

Assertion Reasoning Quiz · Class 9 · Maths · CBSE

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Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress | 8 questions | about 6 minutes

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

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Question 1 of 8
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Question 1 of 8
Assertion (A): In the Sierpiński triangle fractal, if the initial area of the black region at Stage 0 is 1, the area at Stage 3 is \(27/64\).
Reason (R): At each stage of the Sierpiński triangle, the total area of the black region is multiplied by a common ratio of \(3/4\).
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Question 2 of 8
Assertion: In the GP \(1,-1,1,-1,\ldots\), the \(10\)th term is \(-1\).
Reason: The absolute value of every term in the sequence is \(1\).
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Question 3 of 8
Assertion: If a bacterial culture starts with \(30\) bacteria and doubles every hour, then the hourly counts form an arithmetic progression.
Reason: The ratio of each hourly count to the preceding count is the constant \(2\).
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Question 4 of 8
Assertion: The difference between the sixth and fifth square numbers is \(11\).
Reason: For every natural number \(n\), \(n^2-(n-1)^2=2n-1\), which is an odd number.
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Question 5 of 8
Assertion (A): In the Sierpiński square carpet, the number of red squares at Stage 3 is 512.
Reason (R): The number of red squares at Stage \(n\) follows the geometric progression rule \(8^n\).
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Question 6 of 8
Assertion (A): If the 4th, 10th, and 16th terms of a GP are \(x, y\), and \(z\) respectively, then they satisfy the relation \(xz = y^2\).
Reason (R): If three terms are in a geometric progression, the square of the middle term is equal to the product of the first and third terms.
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Question 7 of 8
Assertion (A): The sequence 2, 5, 8, 11, ... is an arithmetic progression.
Reason (R): The difference between any two consecutive terms in an arithmetic progression is constant.
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Question 8 of 8
Assertion (A): The sequence 3, -6, 12, -24, ... is a geometric progression.
Reason (R): The common ratio of this given sequence is 2.
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