10th Standard CBSE Syllabus & Materials
10th Standard CBSE
CBSE 10th Social Science ECO - Globalisation and the Indian Economy - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science ECO - Money and Credit - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science ECO - Sectors of the Indian Economy - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science ECO - Development - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science PS - Outcomes of Democracy - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science PS - Gender, Religion and Caste - New Model Questions Papers Study Material - QB365 Set A
Published on: 23/08/2019
Arithmetic Progressions
Download CBSE Class 10th Standard CBSE Maths question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 10th Standard CBSE Maths
Questions + Answers key
Take MCQ Maths Test
1.
What is the sum of five positive integers divisible by 6.
2.
If 18, a, b, - 3 are in A.P.,then find a + b.
3.
In the A.P. 2, x, 26 find the value of x.
4.
What is the next term of an AP.\( \sqrt { 7 } ,\sqrt { 28 } ,\sqrt { 63 } ,.....?\)
5.
Find the 10th term of 10.0, 10.5, 11.0, 11.5,...
6.
Find the 8th term of 117, 104, 91, 78,...
7.
Write down the first four terms of the sequences whose general terms are T1 = 2, Tn = Tn-1 + 5, n \(\ge \) 2
8.
Write down the first four terms of the sequences whose general terms are Tn = 3n+1
9.
Write down the first four terms of the sequences whose general terms are Tn = 2n + 3
10.
Find the 25th term of the AP. \(-5,-\frac{5}{2}, 0, \frac{5}{2}\)...............
11.
If there are p terms in an A.P., then nth term form the end is ................ th term.
12.
The constant difference between the consecutive terms of an A.P. is called.......
13.
In an A.P. the common difference is always ...........
14.
If a, b, c are in A.P., then b = ..........
15.
General term of an A.P., whose first term is 'a' and common difference is 'd' is given by an = ..........
16.
The sum of first 4 terms and sum of first 13 terms of the A.P. 24, 21, 18, .......... is 78.
17.
The sum of first 100 natural numbers are 10100.
18.
List of numbers 2, 4, 8, 16, ......, form an A.P.
19.
List of number of students left in the school auditorium from to total strength of 1250 students when they leave the auditorium in batches of 25, form an A.P.
20.
If nth term of an A.P. is 6n + 2, then common difference is 6.
21.
If a10 - a5 = 400, then common difference is
22.
The number of multiple of 4 between 10 and 250 are
23.
The sum of A.P. (-5) + (-8) + (-11) + .......... + (-230) is
24.
Sum of n term of the series \(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+......\) is
25.
10th term of -0.1, -0.2, -0.3,....
1.
Here, a = 6, d = 6, n = 5
\(\because\) S = n/2[2a+(n-l)d]
S5 = 5/2[2x6+(5-1)(6)]
= 5/2[12+4x6]
= 5/2[12+24] = 5/2[36]
= 5x18 = 90
2.
Since 18, a, b, and - 3 are in A.P., Then
a-18 = -3-b
\(\Rightarrow\)a + b = - 3 + 18 -
\(\Rightarrow\) a + b = 15
3.
2, x and 26 are in A.P.
\(\therefore\)x-2 = 26-x
\(\Rightarrow\) 2x=26+2
\(\Rightarrow\) x = 28/2 = 14
4.
Here,
\(a=\sqrt { 7 } ,a+d=\sqrt { 28 } \)
\(d=\sqrt { 28 } -\sqrt { 7 } =2\sqrt { 7 } -\sqrt { 7 } \)
\(=\sqrt { 7 } \)
\(\Rightarrow Next\quad term=\sqrt { 7 } +(4-1)\sqrt { 7 } \)
\(\Rightarrow =\sqrt { 7 } (4)\)
\(\Rightarrow =\sqrt { 7\times 16 } \)
\(=\sqrt { 112 } \)
5.
a = 10,
d = 10.5 - 10 = 0.5
a10 = a + 9d = 10 + 9 x 0.5 = 14.5
6.
a = 117,
d = 104 - 117 = -13
a8 = a + 7d = 117 + 7 x (-13) = 26
7.
T1 = 2, Tn = Tn-1 + 5, n \(\ge \) 2
T2 = T2-1 + 5 = T1 + 5 = 2 + 5 = 7
T3 = T3-1 + 5 = T2 + 5 = 7 + 5 = 12
T4 = T4-1 + 5 = T3 + 5 = 12 + 5 = 17
Ist four terms are 2, 7, 12 and 17.
8.
Tn = 3n+1
T1 = 31+1 = 9,
T2 = 32+1 = 27,
T3 = 33+1 = 81,
T4 = 34+1 = 243
Ist four terms are 9, 27, 81 and 243.
9.
Tn = 2n + 3
T1 = 2 x 1 + 3 =5,
T2 = 2 x 2 + 3 = 7,
T3 = 2 x 3 + 3 = 9,
T4 = 2 x 4 + 3 = 11
Ist four terms are 5, 7, 9 and 11.
10.
( )
a = - 5, d = - 5 / 2- (-5) = 5 / 2
nth term = a + (n-1) d
25th term = - 5 + (25 - 1) (5 / 2)
= - 5 + 60
= 55
11.
( )
p - n + 1
12.
( )
common difference
13.
( )
constant
14.
( )
\(\frac{a + c}{2}\) [\(\because\) a, b, c are in A.P. b - a = c - b
\(\Rightarrow\) 2b = a + c
\(\Rightarrow\) b = \(\frac{a + c}{2}\) ]
15.
( )
a + (n - 1)d
16.
(b)
17.
(b)
18.
(b)
19.
(a)
20.
(a)
21.
( )
80
22.
( )
60
23.
( )
-8930
24.
( )
\(\frac{n(n+1)}{\sqrt{2}}\)
25.
( )
-1
10th Standard CBSE Syllabus & Materials
10th Standard CBSE
CBSE 10th Social Science PS - Federalism - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science PS - Power Sharing - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science GEO - Manufacturing Industries - New Model Questions Papers Study Material - QB365 Set A
NEW10th Standard CBSE
CBSE 10th Social Science GEO - Minerals and Energy Resources - New Model Questions Papers Study Material - QB365 Set A
CBSE 10th Standard CBSE Subjects
CBSE Standards
