Academic Year 2016/2023           1st semester Date:                         _____   Time allowed: 1hr
Name:                                    Grade: __   _Section:_____                    Total marks:30
Choose the correct answer for the following questions and write the letter of your best
choice on the answer sheet provided
  1. The sum of the first four terms of an arithmetic sequence is 56.the sum of the last
       four terms is 112.given that the first term is 11, find the value of the number of
       terms.
         A) 20              B) 15                  C) 11          D) 12
  2. The sum to infinity of a convergent geometric series is 3.the sum of the squares of
       its terms is 3. What are the values of the common ratio and the first term?
                      1                                     3     2
        A) G 1=1∧r=                                  C) G 1= ∧r =
                      2                                     2     3
              1    3                                        3     1
        B) G1= ∧r=                                    D) G1= ∧r =
              2    4                                        2     2
  3. If the sum of the first n-terms of an A.P is Sn=3 n2+ 5 n and its mth Term is 164, Then
       the value of m is:
       A) 28               B) 26              C) 36              D) 27
                             ∑ ( 2n − n+1 )
                             31
                                       2
  4.    find the sum of
                             n =1
                31                                        62
          A)                                       C)
                32                                        31
                31                                        30
           B)                                        D)
                16                                        31
  5. There are 15 terms in a given A.P. the first term is 5 and the sum of all the 15 terms
       is 390.Waht is the value of the middle term?
       A) 26              B) 29                    C) 32            D) 23
  6. The sum of the first 2n terms of 2, 5 8 …. is equal to the sum of the first n-terms of
       57, 59, 61, ………what is the value of n?
       A) 11                B) 13                    C) 10            D) 12
  1st quarter Mathematics mock exam    for Grade    12         February 2022             Page   1
7. Suppose a n is an arithmetic sequence with a 8 ¿ 6 and a 12=26. Find the general rule for
   sum of first n-terms.
            n                                                            n
      A) sn= ( 5 n−63 )                                            C) sn= ( 2 n−35 )
            2                                                            2
            n                                                            n
      B) sn= ( 5 n+23 )                                            D) sn= ( 10 n−65 )
            2                                                            2
                                                                  1     1        1          1
    8. What is the value of the infinite product64 3 × 64 9 ×64 27 × 64 81 × … .. ?
        A) 12               B) 8                      C) 16                     D) 4
    9. The sum to infinity of a convergent geometric series is twice the sum of the first
        two terms. What is the value of the common ratio?
        A)
             3
             5
                             B)   {√2
                                     2 √2
                                      ,−
                                         2   }          C)   {√2
                                                                3 √3
                                                                 ,−
                                                                    2       }          D)       {12 ,− 12 }
    10.      In a geometric series, the sum of the first two terms is 180. The sum of the
        first four terms is 225.what is the third term?
             A) 20           B) 60                     C) 30                         D) 120
     THE
   ==============================================END
1st quarter Mathematics mock exam   for Grade    12               February 2022                        Page   2