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Find the number of all three-digit natural numbers which are divisible by 9. Find the number of natural numbers between and which are divisible by both 2 and 5. Find the middle term of the A. Let a and d be the first term and common difference of A. How many terms of the A. Find the sum of the first 25 terms of an A. The first and the last terms of an AP are 5 and 45 respectively.
If the sum of all its terms is , find its common difference. The first and the last terms of an AP are 8 and 65 respectively. Find the sum of all three digit natural numbers, which are multiples of Which term of the A. Determine the A. The 19th term of an AP is equal to three times its 6 th term.
If its 9 th term is 19, find the A. The 9th term of an A. If its 5 th term is 22, find the A. The sum of the 5th and the 9th terms of an AP is If its 25 th term is three times its 8 th term, find the AP. Find the value of the middle term of the following A. The 14 th term of an AP is twice its g th term. If its 6 th term is -8, then find the sum of its first 20 terms. The 13th term of an AP is four times its 3rd term.
If its fifth term is 16, then find the sum of its first ten terms. If the sum of first 7 terms of an A. P is 49 and that of its first 17 terms is , find the sum of first n terms of the A. The first term of an A. Find the number of terms and the common difference of the A. The n th term of an A. Find the sum of first 20 terms of this A. Find the 25 th term of this AP. The sum of the first seven terms of an AP is If its 4 th and the 17 th terms are in the ratio 1 : 5, find the AP.
If S n , denotes the sum of first n terms of an A. If the sum of the first n terms of an A. If S n denotes the sum of first n terms of an A. If the ratio of the sum of first n terms of two A. Let a be the first term and d be the common difference of 2 nd A. The digits of a positive Ch 4 Maths Class 10 Important Questions Complex number of three digits are in A. The number obtained by reversing the digits is less than the original number. Find the number. The sums of first n terms of three arithmetic progressions are S 1 S 2 and S 3 respectively.
The first term of each A. Find the sum of all three digit natural numbers, which are multiples of 9. Find the sum of all multiples of 7 lying between and The 17 th term of an AP is 5 more than twice its 8 th term. If the 11 th term of the AP is 43, then find its n th term. The 15 th term of an AP is 3 more than twice its 7 th term. If the 10 th term of the AP is 41, then find its n th term. The 16 th term of an AP is 1 more than twice its 8 th term.
If the 12 th term of the AP is 47, then find its n th term. Find the 60th term of the AP 8, 10, 12, �, if it has a total of 60 terms and hence find the sum of its last 10 terms. An Arithmetic Progression 5, 12, 19, � has 50 terms. Find its last term. Hence find the sum of its last 15 terms. If the sum of first 4 terms of an A. The first and the last terms of an A. If its common difference is 9, how many terms are there and what is their sum?
Sum of the first 20 terms of an AP is , and its first term is 7. Find its 24 th term. Find the common difference of an A. If the sum of the first 7 terms of an A. The 24 th term of an AP is twice its 10th term. For defining the arithmetic mean of the given numbers, they are not required to be in an AP. For a given range of up to n, the Sum of n natural numbers is given by:.
To derive this formula of Sum of n natural numbers, one must consider the given natural numbers sequence as an AP, with the first term as one and common difference as 1. Based on the surveys done on previous year Boards examination papers and competitive level examinations, Vedantu experts designed Arithmetic Progression Class 10 important questions for the students.
The top ten questions from the entire set of Arithmetic progression important questions are as follows:. For a given AP: 21, 18, 15, Also, tell whether any of the terms is 0 or not? Justify the answers. For a given AP: 11, 8, 5, 2, check whether is the term associated with it or not.
For a given AP, the third term is four and the 9th term is Find out whether any of its terms is zero. Also, find the term which is 0. For a given AP: 3, 15, 27, 39, Is greater than the 54th term of the AP? Write the number of multiples of 4 lying between 10 and For a given AP, the Sum of 4th and 8th term is 24, and that of 6th and 10th term is Calculate the first five terms of the AP.
Shiva saved 5 INR in the first week of the year and increased her weekly savings by 1. If his saving is For a given AP: 24, 21, 18, For an AP, the first term is 5, and the last is The Sum of all the terms is Find the common difference and the number of terms. For a given AP, the Sum of 3rd and 7th term is 6, and the product is 8.
Find the Sum of the first sixteen terms of the given AP. Class 10 Maths Chapter 5 important questions play a vital role in the preparations of the students. The essential questions help the students get a better study and revision resource and pass the examinations with flying colours.
The benefits of Arithmetic Progression important questions are as follows:. Important questions for class 10 Maths Arithmetic progression help the students get a compiled up material of all the frequently asked questions and different types of questions from important concepts, thus helping them get better preparation.
The students accessing the Class 10 Chapter 5 important questions and using them for their preparations get an in-depth idea about the types of questions asked in them and various approaches to solve them.
The students learning from the set of important questions get a brief idea of how to handle different types of problems. Since the students get the desired practice and the best preparation, they confidently appear in the exams and pass with flying colours. Important questions of Chapter 5 Maths Class 10 are beneficial for better practice for both school examinations and competitive level examinations.
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