CBSE Class 11 Sequences and Series Worksheet A

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1. The sum of n terms of two A. P are in the ratio (3n+8) : (7n+15). Find the ratio of their 12^th terms.

2. Find the sum of first n terms and the sum of first 5 terms of the geometric series 

3. Find the sum to n terms of the series 1² + (1² +2² )+ (1² + 2² + 3² )+ - - - - [4]

4. Show that the sum of (m+n)th and (m-n)th terms of an A. P. is equal to twice the mth term.

5. Fins the of all two digit no. which when divided by 4 yields 1 as remainder 

6. If    are in A. P. prove that a, b, c are in A. P.

7. Fins the sum of the products of the corresponding terms of the sequence 2, 4, 8, 16, 32 and 128, 32, 8, 2,1/2

 8. Show that the ratio of the sum of first n terms of a G. P. to the sum of terms from (n+1)th to (2n)th term is 1/rn

9. If S1, S2, S3 are the sum of first n natural no. their squares and their cubes respectively, show that  9S²₂= S _{3 ⁽}1+ 8S₁)

10. 150 workers were engaged to finish a job in a certain no. of days 4 workers dropped out on the second day, 4 more workers dropped out on the third day and so on. It took 8 more days to days to finish the work find the no. of days in which the work was completed.

Click on link below to download CBSE Class 11 Sequences and Series Worksheet A.