Quiz Discussion

The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:

Course Name: Quantitative Aptitude

  • 1]

    9

  • 2]

    10

  • 3]

    11

  • 4]

    12

Solution
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# Quiz
1
Discuss

(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......

  • 1]

    \(\frac{{n\left( {n + 1} \right)}}{2}\)

  • 2]

    \(\frac{{n\left( {n - 1} \right)}}{2}\)

  • 3]

    \({n^2}\)

  • 4]

    n

Solution
2
Discuss

If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?

  • 1] 26th
  • 2] 27th
  • 3] 28th
  • 4] None of these
Solution
3
Discuss

Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is

  • 1] 11
  • 2] 3
  • 3] 8
  • 4] 5
Solution
4
Discuss

15th term of A.P., x - 7, x - 2, x + 3, ........ is

  • 1] x + 63
  • 2] x + 73
  • 3] x + 83
  • 4] x + 53
Solution
5
Discuss

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

  • 1] 28
  • 2] 87
  • 3] 51
  • 4] 17
Solution
6
Discuss

Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = Sn – k Sn-1 + Sn-2 then k =

  • 1]

    1

  • 2]

    2

  • 3]

    3

  • 4]

    4

Solution
7
Discuss

The common difference of the A.P. \(\frac{1}{3}, \frac{{1 - 3b}}{3} , \frac{{1 - 6b}}{3}\)   . . . . . . is

 

  • 1]

    \(\frac{1}{3}\)

  • 2]

    \( - \frac{1}{3}\)

  • 3]

    -b

  • 4]

    b

Solution
8
Discuss

If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is

  • 1] 2
  • 2] 3
  • 3] 1
  • 4] 4
Solution
9
Discuss

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

  • 1] -22
  • 2] -25
  • 3] -19
  • 4] -28
Solution
10
Discuss

If log 2, log (2x -1) and log (2x + 3) are in A.P, then x is equal to ___

  • 1]

     

    5/2

  • 2]

    log25

  • 3]

    log32

  • 4]

     

    3/2

Solution
# Quiz