Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63? ___
Open in App
Solution
The counts at which he claps forms an AP with the first term as 3 and the common difference as 3.
Now, nth term of the AP = 3 + (n-1)3 = 3n when the count reaches 63,
3n = 63, or n = 21
Hence, Arun would have clapped 21 times.