Teachoo Quiz

10 Question MCQ (including Assertion)

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

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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
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 3 of 10
Find the \(26\)th term of the AP \(3,8,13,18,\ldots\).
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Question 4 of 10
An online channel has \(1200\) subscribers initially. Its subscriber count becomes \(1.5\) times the previous month’s count. What is the expected count after \(4\) months?
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Question 5 of 10
How many three-digit numbers are divisible by \(7\)?
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Question 6 of 10
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 7 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 8 of 10
For the sequence defined by \(t_n=3n-7\), what is \(t_{18}\)?
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Question 9 of 10
Is the sequence 1, -1, 1, -1, 1, ... a geometric progression? If so, what is the common ratio?
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Question 10 of 10
What is the \(n^{th}\) term of the Arithmetic Progression (AP): 11, 8, 5, 2, ...?
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