In a certain A.P..5 times the 5th term is equal to 8 times the 8th term , then the 13th term is

    [A] -13      [B] -12       [C] - 1       [D] 0

If P times the Pth  term of an A.P. is equal to q times the qth term of an A.P. , then [p+q] th term is  [A] 0  [B] 1   [C] 2   [D]3

The  number of  terms in the series 101+ 99+97+-------+47 is

[A] 25  [B] 28  [C] 30  [D] 20

If  twice the 11th term of an A.P. is equal to 7 times of its 21st term, then its 25th term is equal to  [A] 24  [B] 120  [C] 0  [D]  NONE OF THESE 

If the 9th term of an A.P. be zero , then the ratio of its 29th and 19th term is

[A] 1:2  [B] 2:1  [C] 1:3  [D] 3:1

If  the Pth term of an A.P. , be q and qth term be p, then its rth  term will be

[A] p + q+ r [B] p + q -r [C] p + r-q  [D] p-q-r 

Let T, be the rth term of an A.P. for  r= 1,2,3,----If for some positive integers m,n such that m ≠ n we have Tm= 1/ n and Tn =1/m, then Tmn equals 

[A] 1/mn     [B] 1/m+1/n     [C] 1   [D] 0

The number of numbers lying  between 100 and 500 that are divisible by 7 but not by 21 is

[A] 57  [B] 19  [C] 38  [D] none of these

The sum of terms equidistant from the beginning and end in an A.P. , is equal to

[A] last term [B] first term [C] sum of the first and last term  [D] none of these

If the numbers a, b, c, d, e form an A.P.,  then the value of a- 4b + 6c  -4d+e is

[A] 1  [B] 2  [C] 0  [D]none of these

If  a , b, c, d, e are in A.P. the  the value of a+ b+4c- 4d +e in terms of a, if possible is

[A] 4a [B] 2a  [C] 3 [D] none of these

If a, b, c are in A.P. , then [a+ 2b- c][2b + c- a][c +a- b]  equals

[A] 1/2abc   [B] abc    [C] 2abc    [D] 4abc

If a,b,c are in A.P. , then  [ a - c]²/  b²-ac=

[A] 1 [B] 2 [C] 3 [D] 4

If log 2, log [2n-1]  and log [2n+3 ] are in A.P. ,  than n = 

 [A] 5/2     [B] log 2  5    [C] LOG 35  [D] 3/2

If 1/p+q , 1/ q+r and 1/ r+p are in A.P. , then

[A] p, q,r are in A.P.  [B] q 2 , p2 , r 2 are in A.P. [C] P 2 q 2 r 2 are A.P. [D] p,q,r are in A.P. 

If a,b,c are in A.P.  , then a/bc , 1/c , 2/b are in 

[A] A.P.  [B] G.P.  [C] H.P.  [D] none of these

For any three positive real numbers a, b, and c, 9[ 25a2 + b 2] + 25 [ C 2 - 3ac = 15 b [ 3a+c] Then

[A ] a,b and c are in G.P. [B] b,c and a are G.P.  [C] b,c and a are in  A. P.  [D] a, b, and c are in  A. P. 

Which of the following arithmetic sequence ? 

[A] f[n] = an an + b ; n ϵ N [B] f[n]=Kr ⁿ  :   n ϵ N [C] f[n] = [an +b]  Kr ⁿ  :  n ϵ N [D] f[n] = 1/ a [n +b/n] : n ϵ N

are If the angles of a quadrilateral are in A.P. , whose common difference is  10  ⁰  , then the angles of the quadrilateral

[A]  65 ⁰ , 85°, 95°, 105°  [B]75°, 85°, 95°, 105° [C] 65°, 75°, 85°, 95° [D] 65°, 95°, 105°, 115° 

If a, b, c are in A.P. ,then the straight line ax+ by+ c =0 will always pass through the point

[A] [-1,-2]       [B] [1,-2]      [C] [-1,2]      [D] [1,2]

For a sequence [tn ] if Sn=7[ 3n-1 ] , then  tn  =

[A]   [14 ]  3^{n  -1}      [B]  [7]  3^{n  -1}        [C] [7] 3ⁿ  +1     [D] [14]  3ⁿ  +1 

If the sum of the first  n terms of a series be 5n2+ 2n , then its second term is 

[A]  7  [B] 17   [C] 24   [D]  42

If sum of n  terms of an A.P.is  +3n2 + 5n and T_m =164 , then m =

[A]   26  [B] 27    [C]  28  [D] none of these

If sn denotes the sum of n terms of an A.P. , Then Sn +3  -3 Sn +2 + Sn+1 - Sn  =

[A] 0    [B] 1   [C] 1/2   [D] 2

The sum of the first and third term of an  arithmetic progression is 12 and the product of first and second term is 24,  then first term is

[A] 1   [B] 8    [C] 4   [D] 6