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

1. 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?

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

3. 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.

4. 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.

5. Prakash buys a electric cycle for Rs 22,000. He pays Rs 4000 cash and agrees to pay the balance in annual instalment of Rs 1000 plus 10% interest on the unpaid amount. How much will the electric cycle cost him?

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

7. 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.

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. 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.)?

10. 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.