CBSE Class 11 Sequences and Series Worksheet E

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1. If     is the A. M. between a and b. Then find the value of n.

2. If A. M. and G. M of two positive no. a and b are 10 and 8 respectively find the no.

3. Find the sum to n terms of the series 5+11+19+29+41 + ----

4. Find the sum of integers from 1 to 100 that are divisible by 2or5

5. The Sum of the first four terms of an A.P. is 56. The Sum of the last four term is 112. If its first term is 11, then find the no. of terms.

6. Let S be the Sum, P the product and R the sum of reciprocals of n terms in a G.P Prove that P² R_n = S_n

7. Find a G.P. for which sum of the first two term is -4 and the fifth term is 4 times the third term.

8. If the p^th, q^th and r^th term of a G.P are a, b, c respectively prove that a^q-r b^r-p c^p-q = 1

9. Find the value of n so that   may be the geometric mean between a and b.

10. The Sum of two no. is 6 times their geometric mean, show that no. are in the ratio (3 + 3 √2) : (3 – 2 √2.

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