let the original sequence be written as below by adding the constant each time

p, p+c, p+2c, p+3c, p+4c

lets transform the above as per our choices

I) 2p, 2p+2c, 2p+4c, 2p+6c, 2p+8c (this is an arithmetic seq. since there is an equal increase of 2c in each term of the sequence)

II) p-3, p+c-3, p+2c-3, p+3c -3, p+4c-3 (this is an arithmetic seq, since there is an equal increase of c in each term)

III) p^2, (p+c)^2, (p+3c)^2.... (just looking at the first 3 terms, the increase isn't constant, since in the second term the increase is 2pc+ c^2 and in the third term the increase is 6pc+9c^2)

so the answer is D

puma wrote:

p,r,s,t,u

An arithmetic sequance is a sequence in which each term after the first is equal to the sum bof the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. 2p, 2r, 2s, 2t,2u

II. p-3, r-3, s-3, t-3, u-3

III. p^2, r^2, s^2, t^2, u^2

a) I only

b) II only

c) III only

d) I and II only

e) II and III only