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?___

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Solution

The counts at which he claps forms an AP with the first term as 3 and the common difference as 3.
Now, $n^{t h}$ 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.

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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?___

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.

The counts at which he claps forms an AP with the first term as 3 and the common difference as 3.
Now, $n^{t h}$ 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.