Lecture 10 Class 11 Sequences and Series

“Leaders Never Use The Word Failure. They Look Upon Setbacks As Learning Experiences.”

Lecture - 10 Chapter 9 Sequences & Series

NCERT EXERCISE 9.4

Find the sum to n terms of each of the series in Exercises 1 to 7.

Question 1. 1\times2+2\times3+3\times4+4\times5+…

Question 2. 1\times2\times3+2\times3\times4+3\times4\times5+…

Question 3. 3\times1^2+5\times2^2+7\times3^2+…

Question 4. \frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+…

Find the sum to n terms of each of the series in Exercises 1 to 7.

Question 5. 5^2+6^2+7^2+…+20^2

Question 6. 3\times8+6\times11+9\times14+…

Question 7. 1^2+(1^2+2^2)+(1^2+2^2+3^2)+…

Find the sum to n terms of the series in Exercises 8 to 10 whose nth terms is given by

Question 8. n(n+1)(n+4)

Question 9. n^2+2^n

Question 10. (2n-1)^2

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