Question

The Chinese Lunar Calender is based on a $12$-year cycle. Each year is named after an animal. The year $2022$ is named after the tiger.

Will $2050$ be a year of the tiger?

• A. Yes
• B. No

Answer 1

The correct option is B No

$\underset{–}{ConceptInvolved:}$

When the successive term in a numerical pattern is formed by adding a fixed constant value to the previous term, the sequence obtained is an arithmetic sequence.

$\underset{–}{Method:}$

Given here that $2022$ is the year of the tiger.
Next year of tiger would be obtained by adding $12$ to $2022$.
Next tiger year after $2022$
$=2022+12$
$=2034$

Next tiger year after $2034$
$=2034+12$
$=2046$

Next tiger year after $2046$
$2046+12$
$=2058$

$2050$ would not be the tiger year as we would not get $2050$ by adding multiples of $12$ to it. This would form an arithmetic sequence as $2022,2034,2046,2058,...$ The years involved in this arithmetic sequence are the tiger years.