Question

Check whether $80$ is a term of the AP. $0,0.5,1,1.5,\dots$

• A. True
• B. False
• C. Data Insufficient
• D. Can't Say

Answer 1

Answer: (B)

False

$0,0.5,1,1.5,\dots$

Here,

$a=0,d=0.5$
Let $80$ be the $n^{th}$ term of this AP.

Since,

$a_n=a+(n-1)d$
$\Rightarrow 80=0+(n-1)0.5$
$\Rightarrow 80=0.5n-0.5$
$\Rightarrow 80+0.5=0.5n$
$\Rightarrow n=161$

Clearly, $n$ is an integer.
Therefore, $80$ is the ${161}^{th}$ term of this AP.