Arithmetic Progression - CBSE Class 10

Arithmetic Progression - CBSE Class 10

by

Salman Nizarudin

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What is the common difference of an A.P. in which  $a_{21}-a_7=84$  ? (2017OD )

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Find the 9th term from the end (towards the first term) of the A.P. 5,9,13, …, 185. (2016D)

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The angles of a triangle are in A.P., the least being half the greatest. Find the angles. (2011D)

Multiple Choice

Find whether -150 is a term of the A.P. 17, 12, 7, 2, … ? (2011D)

• Yes

• No

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The 7th term of an A.P. is 20 and its 13th term is 32. Find the A.P. (2012OD)

[ENTER FIRST 4 TERMS SEPERATED BY COMMA]

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How many natural numbers are there between 200 and 500, which are divisible by 7? (2011OD)

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Find the middle term of the A.P. 6, 13, 20, …, 216. (2015D)

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How many terms of the A.P. 65, 60, 55, … be taken so that their sum is zero? (2016D)

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The 14th term of an AP is twice its 8th term. If its 6th term is -8, then find the sum of its first 20 terms. (2015OD)

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The nth term of an A.P. is given by (-4n + 15). Find the sum of first 20 terms of this A.P. (2013D)

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The sum of the first seven terms of an AP is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the AP. (2014OD)

[ENTER FIRST 4 TERMS COMMA SEPERATED]

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The digits of a positive number of three digits are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number. (2016OD)

Multiple Choice

Ramkali required ₹ 500 after 12 weeks to send her daughter to school. She saved ₹ 100 in the first week and increased her weekly saving by ₹2 0 every week. Find her savings after 12 weeks. (2015D)

• 2520

• 520

• 640

• 1420

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A sum of ₹ 1,600 is to be used to give ten cash prizes to students of a school for their overall academic performance. If each prize is ₹ 20 less than its preceding prize, find the value of the first 4 prizes. (2012OD)

[comma seperated]

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Find the number of terms of the A.P. -12, -9, – 6, …, 21. If 1 is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained. (2013D)

Multiple Choice

In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two Sections, find how many trees were planted by the students. (2014OD)

• 300

• 312

• 200

• 250

BONUS QUESTION 1

The 4th term of an A.P. is zero. Prove that the 25th term of the A.P. is three times its 11th term. (2016OD)

BONUS QUESTION 2

A thief runs with a uniform speed of 100 m/minute. After one minute a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the first minute and increases his speed by 10 m/minute every succeeding minute. After how many minutes the policeman will catch the thief. (2016D)