Find the sum of all numbers between 200 | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

Current NCERT chapter

Academic session 2026-27, Chapter 8 in the current curriculum.

Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter Sequence and Series. This page offers a step-by-step solution to the specific question from Exercise 5, Question 4:

Find the sum of all numbers between 200 and 400 which are divisible by 7.

. With detailed answers and explanations for each chapter, students can strengthen their understanding and prepare confidently for exams. Ideal for CBSE and other board students, this resource will simplify your study experience.

Question 4:

Find the sum of all numbers between 200 and 400 which are divisible by 7.

Answer:

The numbers lying between 200 and 400, which are divisible by 7, are

203, 210, 217, ­­­­­­­­… 399

∴First term, a = 203

Last term, l = 399

Common difference, d = 7

Let the number of terms of the A.P. be n.

∴ an = 399 = a + (n –1) d

⇒ 399 = 203 + (n –1) 7

⇒ 7 (n –1) = 196

⇒ n –1 = 28

⇒ n = 29

therefore space S subscript 29 space equals space 29 over 2 space open parentheses 203 space plus space 399 close parentheses
space space space space space space space space space space space space space equals space 29 over 2 space open parentheses 602 close parentheses
space space space space space space space space space space space space space equals space open parentheses 29 close parentheses open parentheses 301 close parentheses
space space space space space space space space space space space space space equals space 8729

Thus, the required sum is 8729.


Study Tips for Answering NCERT Questions:

NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:

  • Read the question carefully and focus on the core concept being asked.
  • Reference examples and data from the chapter when answering questions about Sequence and Series.
  • Review previous year question papers to get an idea of how such questions may be framed in exams.
  • Practice answering questions within the time limit to improve your speed and accuracy.
  • Discuss your answers with your teachers or peers to get feedback and improve your understanding.

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Comments

  • Harsh
  • Aug 22, 2019

Good


  • saranya
  • Feb 18, 2019

ummma thank you


  • Neelam
  • Jan 07, 2019

But how I know that first no. Is 203


  • David N Maikundu
  • Nov 09, 2018

thank you great elucidation


  • David N Maikundu
  • Nov 09, 2018

wonderfull explanation


  • Shilpa
  • Sep 20, 2018

Thank you for your help


  • DHARMAPADA KARUA
  • Jun 03, 2018

Good solution.


  • Puru
  • Oct 10, 2017

Thanks for the explanation


  • shethra krishna
  • Nov 16, 2016

it was a wonderful explanation


  • karthik
  • Oct 12, 2016

Good explanation


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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 5 , Question 4: Find the sum of all numbers between 200 and 400 which are divisible by 7.....

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