# HOTs Arithmetic Progression 10 Mathematics

Please refer to Arithmetic Progression HOTs Class 10 Mathematics provided below with Arithmetic Progression. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

## Arithmetic Progression Class 10 Mathematics HOTs

Questions of 1 Mark

Question. Find the 10th term from the end of A.P 3, 8, 13, 18…253

209

Question. Which term of the sequence 4,9,14…is 124?

n = 25

Question. How many numbers of two digits are divisible by 8?

n = 11

Question. For what value of K, the number x, 2x + k, 3x + 6,are three consecutive terms of A.P

k=3

Question. Write next term of A.P ∫8, ∫18, ∫32….

5√2, 6√2, 7√2

Question. Find the middle term of A.P 1,8,15,…,505

middle term = 73

Question. Find first three terms of an A.P whose nth term is -5 + 2x

–3, -1, 1

Question. What is the common difference of an A.P in which a23 – a18 = 45

d = 9

Question. Find the sum of all odd integers between 1 and 100 which are not multiples of 4

2500

Question. In the given A.P, find the missing terms 0,_,-8,-12,_.

0,-4,-8,-12,-16

Questions of 2 Mark

Question. If the 10th term of an A.P is 47 and first term is 2, find the sum of the first 15 terms

255

Question. How many terms of A.P 18, 16, 14…Should be taken so that their sum is zero?

19

Question. Which term of A.P 121,117,113….is the first negative term?

32nd term

Question. Solve the equation – 2 + 5 + 8… + x = 155

29

Question. If the sum of n terms of an A.P is n2 + 2x, find the A.P and the 20th term.

3,5,7,9
T20 = 41

Question. How many multiples of 4 lie between 10 and 250?

60

Question. Determine the A.P whose zero term is 16 and when 5th term is subtracted from 7th ,we get 12

4,10,16,22

Question. If seven times the seventh term of an A.P is equal to 11 times the eleventh term, show that 18th term of an A.P is zero.