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Chapter 6: Arithmetic Progressions > Enhanced Curriculum Support

Enhanced Curriculum Support

This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:

Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.

Exam Preparedness: Sample Question Papers provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.

Sample Questions

About the Section

Sec A

(1) Radha says "1, 1, 1, ..... are in A.P and also in G.P". Do you agree with Radha? Give reason.

(2) he number of terms in the A.P; 2, 5, 8, ......, 32 is ......

(A) 9 (B) 10

(C) 11 (D) 32

(3) Radha says “1, 1, 1, ... are in A.P. and also in G.P.”. Do you agree with Radha? Give reason.

(4) The 30th term of the A.P. 10, 7, 4, ...... is ....

(A) 87

(B) 77

(C) -77

(D) -87

(5) Is the sequence 3, 6, 9, 12, ..... form an Arithmetic Progression? Give reason.

Sec B

(1) Write the formula of nth term of G.P and explain the terms in it.

(2) In an arithmetic progression, first term is '1', last term is 20 and the sum of all the terms is 399, then find the number of terms in the progression.

(3) Find the 10th term of the arithmetic progression 3, 5, 7, .......

(4) Find the 7th term from the end of the Arithmetic Progression: 7, 10, 13, ....., 184.

Sec C

(1) Find the sum of all two digit odd multiples of 3.

(2) Find the sum of all two digit positive integers which are divisible by 3 but not by 2.

(3) If the Geometric Progressions 162, 54, 18, ............. and 281, 227, 29, ....... have their nth terms equal, then find the value of 'n'.

(4) Which term of the A.P. 21, 18, 15, ...... is -81? Also find the term which becomes zero.

(5) In an arithmetic progression, if 4 times of fourth term is equal to 8 times of the eigth term, then prove that twelfth term of the progression is zero.

(6) Write the formula for the sum of first 'n' terms of an arithmetic progression and explain each term in it.

(7) 5, 8, 11, 14, ..... is an arithmetic progression. Find the sum of first 20 terms of it.

(8) Check whether - 150 a term of the AP : 11,8, 5, 2, ............

Sec D

(1) Show that the distance of the points (5, 12), (7, 24) and (35, 12) from the origin are arranged in ascending order forms an arithmetic progression. Find the common difference of the progression.