Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 8 Class 11 Sequences and Series | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
Which term of the G.P. \(1/3, 1/9, 1/27, \dots\) is \(1/19683\)?
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Question 2 of 10
A geometric progression has an even number of terms. The sum of all the terms is 3 times the sum of the terms in odd places. What is the common ratio?
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Question 3 of 10
What is the sum of the first 6 terms of the geometric series \(2 + \sqrt{2} + 1 + \dots\)?
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Question 4 of 10
Insert two numbers between 3 and 81 so that the resulting sequence is a G.P. The positive numbers are:
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Question 5 of 10

Two numbers are inserted between \(4\) and \(108\) so that the resulting sequence is a G.P. The inserted numbers are

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Question 6 of 10

A radioactive sample has a mass of \(640\) mg and its mass becomes half every \(6\) hours. Its mass after \(30\) hours is

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Question 7 of 10
In an experiment, the temperature of a chemical reaction increases by a constant factor every minute. If the temperature is \(4^\circ\text{C}\) at the 2nd minute and \(32^\circ\text{C}\) at the 5th minute, what was the initial temperature (0th minute)?
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Question 8 of 10
For a given sequence \(a_n = (-1)^{n-1} 5^{n+1}\), what is the \(3^{rd}\) term?
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Question 9 of 10

The sum of the first six terms of \(3+6+12+\cdots\) is

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Question 10 of 10
Consider a fractal tree where the trunk is 1 unit long. It splits into two branches, each of length \(1/2\) the trunk. Each of those branches splits into two, each \(1/2\) the length of the previous branch, and so on. What is the total length of all branches (including the trunk) created at the \(5^{th}\) stage (assuming trunk is stage 1)?
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