Class 10 CBSE Maths Arithmetic Progression Boards Questions
Here we provide Class 10 Maths important notes,board questions and predicted questions with Answers for chapter Arithmetic Progression. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 10 Maths syllabus. By practising these Class 10 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 10 Board examinations.
2016
Q1
For what value of k will be k+9, 2k -1, 2k+7 are he consecutive terms of an AP ?
solutions
solutions
Q2
The 4th term of an AP is zero prove that the 25th term of the AP is 3 times its 11th term.
solutions
solutions
Q3
If the ratio of the sum of first n terms of two AP's is (7n+1):(4n + 27), find the ratio of their
mth terms.
solutions
solutions
2017
Q4
What is the common difference of an A.P. in which a21 - a7 = 84 ?
solutions
solutions
Q5
Which term of the progression 20, 19
solutions
1
/
4
, 18
1
/
2
, 17
3
/
4
, ....... is the first negative term ?
solutions
Q6
The first term of an AP is 5 the last term is 45 and the sum of all its terms is 400. Find the
number of terms and the common difference of the AP.
solutions
solutions
Q7
If the ratio of the sum of first n terms of two AP's is (7n+1):(4n + 27), find the ratio of their
9th terms.
solutions
solutions
Q8
In an AP the common difference(d) = -4 and the seventh term (a7) is 4 then find the first
term.
solutions
solutions
2018
Q9
Find the sum of first 8 multiples of 3
solutions
solutions
Q10
The sum of 4 consecutive numbers in an AP is 32 and the ratio of the product of the first and the
last term to the product of two middle term is 7 : 15. Find the numbers
solutions
solutions
Q11
Find the common difference of the Arithmetic Progression (A.P.)
solutions
1
/
a
,
3-a
/
3a
,
3-2a
/
3a
, ....... (a ≠ 0)
solutions
2019
Q12
(A) Which term of the arithmetic progression -7, -12, -17, -22, .... will be -82 ? Is -100 any term
of the A.P. ? Give reason for your answer
OR
(B) How many terms of the arithmetic progression 45, 39, 33, ..... must be taken so that their sum is 180 ? explain the double answer
solutions
(B) How many terms of the arithmetic progression 45, 39, 33, ..... must be taken so that their sum is 180 ? explain the double answer
solutions
Q13
The first term of an AP is 'p' at the common difference is 'q' then the 10th term is
(a) q + 9p
(b) p - 9q
(c) p + 9q
(d) 2p + 9q
solutions
(a) q + 9p
(b) p - 9q
(c) p + 9q
(d) 2p + 9q
solutions
Q14
Show that (a-b)2, (a2 + b2) and (a + b)2 are in A.P.
solutions
solutions
2020
Q15
(A) The sum of 4 consecutive numbers in an AP is 32 and the ratio of the product of the first and
the last term to the product of two middle term is 7 : 15. Find the numbers
OR
(B) Solve : 1 + 4 + 7 + 10 + .... + x = 287
solutions
(B) Solve : 1 + 4 + 7 + 10 + .... + x = 287
solutions
Q16
The value of x for which 2x, (x + 10) and (3x + 2) are the 3 consecutive term of an AP is
(a) 6
(b) -6
(c) 18
(d) -18
solutions
(a) 6
(b) -6
(c) 18
(d) -18
solutions
Q17
The nth term of an AP is (7 -4n), then what is its common difference?
solutions
solutions
Q18
(A) If 4 times the fourth term in AP is equal to 18 times the 18th term, then find the 22nd term
OR
(B) How many terms of the AP : 24, 2, 18, ..... must be taken so that their sum is 78 ?
solutions
(B) How many terms of the AP : 24, 2, 18, ..... must be taken so that their sum is 78 ?
solutions
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