Question

Identify the property of A.P. used in the sequence:

$(3-x),(5-x),(7-x),(9-x)$

• A. $3$ is a constant subtracted from the sequence
• B. $-x$ is a constant subtracted from the sequence
• C. $x$ is a constant subtracted from the sequence
• D. Number is a constant subtracted from the sequence

Answer 1

Answer: (C)

$x$ is a constant subtracted from the sequence

Given sequence is $(3-x),(5-x),(7-x),(9-x)$

Here $3,5,7,9$ are in AP with common difference $2$

Using the property of AP, if we subtract the same no. from each term, then it will remain in AP.

i.e. $3-x,5-x,7-x,9-x$ is all equal to $2$ which will be in AP.