CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Arthimetic Progressions
Question 1
1.
    • Which term of the A.P.
    • 8
      9
      ,
      11
      9
      ,
      14
      9
      ,
      . . .
    • is
    • 50
      9
    • ?
  • t

    15
  • t

    13
  • t

    16
  • t

    14
  • t

    18
Question 2
2.
    • Determine k so that
    • (
      3
      k
      +
      4
      		)
    • ,
    • (
      6
      k
      +
      9
      		)
    • and
    • (
      6
      k
      +
      7
      		)
    • are the consecutive terms of an A.P
  • (
    -5
    3
    		 )
  • (
    -11
    5
    		 )
  • (
    -7
    3
    		 )
  • -3
Question 3
3.
    • Determine
    • t

      6
    • of an A.P whose
    • t

      10
    • is
    • 113
      36
    • and common difference is
    • 1
      4
  • 79
    36
  • 77
    38
  • 77
    34
  • 77
    36
  • 25
    12
Question 4
4.
    • Given
    • t

      n
    • =
    • 48
    • , d =
    • 8
    • , n =
    • 6
    • , find a
  • 10
  • 6
  • 9
  • 8
  • 7
Question 5
5.
The sum of first n natural number is
  • n
    2
    (
    n
    +
    1
    		)
    2
    4
  • (
    n
    −
    1
    		) (
    n
    +
    1
    		)
    2
  • (
    n
    		) (
    n
    −
    1
    		)
    2
  • (
    n
    		) (
    n
    +
    1
    		) (
    2
    n
    +
    1
    		)
    6
  • (
    n
    		) (
    n
    +
    1
    		)
    2
Question 6
6.
    • Which term of the A.P.
    • 1
      ,
      8
      ,
      15
      ,
      . . .
    • is
    • 78
    • ?
  • t

    12
  • t

    11
  • t

    14
  • t

    9
  • t

    13
Question 7
7.
    • How many terms of the A.P.
    • 9
      7
      ,
      52
      35
      ,
      59
      35
      ,
      . . .
    • are needed to
    • make the sum
    • 312
      7
    • ?
  • 14
  • 18
  • 17
  • 16
  • 15
Question 8
8.
    • Determine
    • t

      5
    • and
    • t

      n
    • of an A.P. whose
    • t

      4
    • is
    • 33
    • and
    • t

      9
    • is
    • 73
    • .
      • 40
      • ;
      • (
        8
        n
        +
        9
        		)
      • 41
      • ;
      • (
        8
        n
        +
        1
        		)
      • 42
      • ;
      • (
        8
        n
        +
        10
        		)
      • 39
      • ;
      • (
        6
        n
        +
        1
        		)
      • 43
      • ;
      • (
        11
        n
        +
        1
        		)
Question 9
9.
    • The first term of the A.P.
    • 3
      ,
      7
      ,
      11
      ,
      15
      ,
      19
      ,
      . . .
    • =
  • 7
  • 15
  • 3
  • 19
  • 11
Question 10
10.
    • Given
    • t

      n
    • =
    • 114
    • , d =
    • 6
    • , n =
    • 19
    • , find
    • S

      n
  • 1142
  • 1138
  • 1139
  • 1141
  • 1140