CBSE Class 11 Sequences and Series Worksheet D

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1. If the Sum of n terms of an A. P is (pn + qn²), where p and q are constants find the common difference.

2. Insert three no. between 1 and 256 so that the resulting sequence is a G.P. 

3. Find the sum to n terms of 3x1² + 5x2² + 7x3² +....

4. The Sum of first three terms of a G.P. is 16 and the Sum of the next three term is 128. determine the first term, the common ratio and the Sum to n terms of the G.P.

5. If the first and the nth terms of a G.P. are a and b respectively and P is the product of n terms prove that P² = (ab)ⁿ.

6. The ratio of the sums of m and n terms of an AP is m²:n². Show that the rates of mth and nth term is (2m-1) : (2n-1).

7. If the Sum of n terms of an A.P. is 3n²+n and its mth term is 164, fins the value of m.

8. The difference between any two consecutive interior angles of a polygon is 5⁰. If the smallest angle is 1200, find the no. of the sides of the polygon.

9. Between 1 and 31, m number have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7^th and (m-1)^th no. is 5:9 find the value of m. 

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