## Properties of A.P. - Basic

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. For example, the sequence 1, 2, 3, 4, ... is an arithmetic progression with common difference 1. Second example: the sequence 3, 5, 7, 9, 11,... is an arithmetic progression. with common difference 2

Q1.  If 2x, x+ 8, 3x + 1 are in A.P., then the value of x will be

•   3
•  7
•  5
•  -2

5

Q2.  If 1, logyyx, logyy, – 15 logyz are in A.P., then

•  z3=x
•  x=y-1
•  z-3=y
•  All of these

All of these

Q3.  If log32, log3(2x –5) and log3(2x- 7/2) are in A.P., then x is equal to

•   1,1/2
•  1,1/3
•  1,3/2
•   None of these

None of these

Q4.  If 1/p+q , 1/r+p, 1/q+r are in A.P., then

•   p, q, r are in A.P.
•   p2, q2, r2 are in A.P
•  1/p, 1/r, 1/r are in A.P.
•  None of these

p2, q2, r2 are in A.P

Q5.  If a, b, c, are in A.P., then b2-ac is equal to

•  (a+c)2/4
•  (a-c)2/4
•  (a-c)2/2
•  (a+c)2/2

(a-c)2/4

Q6.  If a1, a2, a3 .... are in A.P. then ap, aq, ar are in A.P. if p, q, r are in

•  A.P.
•   G.P.
•  H.P.
•  None of these

A.P.

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