Question

State the following statement is True or False

If the $n^{th}$ term of the H.P. $\frac{1}{11},\frac{1}{22},\frac{1}{33},....$ is $\frac{1}{550}.$, then $n=$ $51$

• A. True
• B. False

Answer 1

The correct option is B False

The reciprocal of AP is HP.
AP is in the form of $11,22,33$,...
Let the general form of A.P., $a_n=a+(n-1)d$
Common difference, $d=$ $11$
$a_n=550$
$a_n=a+(n-1)d$
$550=11+(n-1)\times 11$
$550-11=11n-11$
$539+11=11n$
$550=11n$
$n=50$
Therefore, $n^{th}$ term of HP is $\frac{1}{50}$.