11th Math Sequences and Series MCQ Chapter Quiz: Check knowledge with instant result

1. The sum of three numbers in a geometric progression (G.P.) is 56. If we subtract 1, 7, and 21 from these numbers in that order, we obtain an arithmetic progression. Determine the values of the numbers in the G.P.

2. How many terms of G.P. 3, 3², 3³, … are needed to give the sum 120?

3. Can you find two numbers to insert between 3 and 81 so that the sequence formed by these numbers, 3, __, __, 81, is a geometric progression (G.P.)?

4. Initially, 150 workers were assigned to complete a job within a specified timeframe. On the second day, 4 workers withdrew, followed by an additional 4 workers on the third day, and so forth. Ultimately, it took an additional 8 days to complete the task. Determine the total number of days it took to finish the work.

5. What is the 20^th term of the sequence defined by a_n = (n – 1) (2 – n) (3 + n)?

6. A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.

7. Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

8. An individual writes a letter to four friends, instructing each to copy the letter and send it to four different individuals, continuing the chain. Assuming the chain remains unbroken and the cost to mail one letter is 50 paise, calculate the total amount spent on postage when the 8th set of letters is mailed.

9. A farmer purchases a pre-owned tractor for Rs 12,000. Initially, he pays Rs 6,000 in cash and commits to settling the remaining amount through annual installments of Rs 500, along with 12% interest on the outstanding balance. What will be the total cost of the tractor for the farmer?

10. A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio.