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

1. The first term and common ratio of a geometric progression (G.P.) are 5 and 2, respectively. The sum of certain terms in this G.P. is 315. Determine the last term and the number of terms in the sequence.

2. 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.

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. Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2,1/2.

5. Find the 20^th term of the series 2 × 4 + 4 × 6 + 6 × 8 + ... + n terms.

6. 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.

7. 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.

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

9. 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.

10. 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.