Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress | 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
Advertisement
Question 1 of 10
Which term of the GP 2, 6, 18, ... is 4374?
Select one option. Answers are shown after the test.
Question 2 of 10
Find the 12th term of a GP with common ratio 2, whose 8th term is 192.
Select one option. Answers are shown after the test.
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 \(d\).
Select one option. Answers are shown after the test.
Question 4 of 10
Using the formula for the sum of natural numbers, find the sum of the first 20 natural numbers.
Select one option. Answers are shown after the test.
Question 5 of 10
Assertion: The number \(172\) is the \(35\)th term of the sequence \(t_n=5n-3\).
Reason: Solving \(5n-3=172\) gives \(n=\dfrac{175}{5}=35\), which is a natural number.
Select one option. Answers are shown after the test.
Question 6 of 10
Assertion: If the ordered pairs \((n,t_n)\) of an AP are plotted, the points lie on a straight line.
Reason: Every arithmetic progression has a constant ratio between consecutive terms.
Select one option. Answers are shown after the test.
Question 7 of 10
Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.
Select one option. Answers are shown after the test.
Question 8 of 10
Find the 15th term of the sequence given by \(t_n = 2 - 5n\) for \(n \ge 1\).
Select one option. Answers are shown after the test.
Question 9 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.
Select one option. Answers are shown after the test.
Question 10 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?
Select one option. Answers are shown after the test.