CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Arthimetic Progressions
Question 1
1.
The sum of first n natural number is
  • (
    n
    		) (
    n
    +
    1
    		)
    2
  • (
    n
    −
    1
    		) (
    n
    +
    1
    		)
    2
  • (
    n
    		) (
    n
    +
    1
    		) (
    2
    n
    +
    1
    		)
    6
  • n
    2
    (
    n
    +
    1
    		)
    2
    4
  • (
    n
    		) (
    n
    −
    1
    		)
    2
Question 2
2.
    • The
    • t

      8
    • of an A.P is
    • p
    • and
    • t

      9
    • is
    • q
    • .
    • Find
    • t

      13
    • and
    • t

      n
    • .
      • (
        −
        3
        p
        +
        4
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        9
        p
        +
        q
        n
        −
        8
        q
        		)
      • (
        −
        4
        p
        +
        5
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        p
        +
        q
        n
        −
        q
        		)
      • (
        4
        p
        −
        2
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        17
        p
        +
        q
        n
        −
        15
        q
        		)
      • (
        −
        5
        p
        +
        6
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        8
        p
        +
        q
        n
        −
        7
        q
        		)
      • (
        −
        4
        p
        +
        5
        q
        		)
      • ,
      • (
        −
        p
        n
        +
        9
        p
        +
        q
        n
        −
        8
        q
        		)
Question 3
3.
    • Given
    • t

      n
    • =
    • 57
    • , d =
    • 5
    • , n =
    • 12
    • , find a
  • 2
  • 1
  • 0
  • 4
  • 3
Question 4
4.
    • The first term of the A.P.
    • 2
      ,
      5
      ,
      8
      ,
      11
      ,
      14
      ,
      . . .
    • =
  • 8
  • 11
  • 5
  • 2
  • 14
Question 5
5.
    • The product of two numbers is
    • 364
    • and their arithmetic mean is
    • 20
    • .
    • Find the two numbers.
  • (
    28
    ,
    16
    )
  • (
    17
    ,
    26
    )
  • (
    14
    ,
    25
    )
  • (
    15
    ,
    27
    )
  • (
    14
    ,
    26
    )
Question 6
6.
    • The sum of first three terms of an A.P. is
    • 33
    • while their product is
    • 935
    • .
    • Find the A.P.
  • 5
    ,
    10
    ,
    15
    ,
    . . .
  • 6
    ,
    12
    ,
    18
    ,
    . . .
  • 7
    ,
    13
    ,
    19
    ,
    . . .
  • 5
    ,
    9
    ,
    13
    ,
    . . .
  • 5
    ,
    11
    ,
    17
    ,
    . . .
Question 7
7.
    • Insert
    • 3
    • arithmetic means between
    • 6
    • and
    • 14
    • .
  • 11
    ,
    16
    ,
    21
  • 9
    ,
    12
    ,
    15
  • 7
    ,
    8
    ,
    9
  • 6
    ,
    6
    ,
    6
  • 8
    ,
    10
    ,
    12
Question 8
8.
    • How many terms of the A.P.
    • 9
      7
      ,
      43
      28
      ,
      25
      14
      ,
      . . .
    • are needed to
    • make the sum
    • 1025
      14
    • ?
  • 21
  • 23
  • 18
  • 19
  • 20
Question 9
9.
    • Find
    • t

      20
    • of the A.P.
    • 4
      ,
      11
      ,
      18
      ,
      . . .
    • =
  • 135
  • 138
  • 137
  • 140
  • 136
Question 10
10.
    • Determine k so that
    • (
      4
      k
      +
      8
      		)
    • ,
    • (
      5
      k
      +
      3
      		)
    • and
    • (
      7
      k
      +
      2
      		)
    • are the consecutive terms of an A.P
  • -4
  • -5
  • -3
  • -2
  • -7