Lecture 10 Class 11 Sequences and Series

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“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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