Teachoo MCQ Test

10 Question MCQ (including Assertion)

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.
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Question 1 of 10
Question 1 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 2 of 10

A lighting display has \(32\) bulbs in its first row. Every succeeding row contains \(50\%\) more bulbs than the preceding row. According to this pattern, the sixth row contains

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Question 3 of 10

A tank contains \(2000\) litres of water. Due to leakage, \(10\%\) of the water present at the beginning of each hour is lost during that hour. The water remaining after \(5\) hours is

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Question 4 of 10
A geometric mean of two numbers is 6, and their arithmetic mean is \(6.5\). The positive difference between the two numbers is:
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Question 5 of 10

Which term of the G.P. \(2,8,32,\ldots\) is \(8192\)?

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Question 6 of 10

₹\(10{,}000\) is invested at \(8\%\) per annum, compounded annually. Its value after \(3\) years is

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Question 7 of 10
Let \(S\) be the sum, \(P\) the product, and \(R\) the sum of reciprocals of \(n\) terms in a G.P. Which of the following relations is correct?
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Question 8 of 10
The number of bacteria in a culture triples every hour. If there are 100 bacteria initially, what is the formula for the number of bacteria present at the end of the \(n^{th}\) hour?
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Question 9 of 10
Evaluate \(\sum_{k=1}^{5} (2 + 3^k)\).
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Question 10 of 10

In a G.P., the fourth term is \(54\) and the seventh term is \(1458\). The tenth term is

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