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 reacheed 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, $n^{t h}$ 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.

Suggest Corrections

Similar questions

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. By the time when both of them clap simultaneously for the third time, how many times did Arun clap?

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

A man stands before a large wall at a distance of 50-0 m and claps his hands at regular intervals. Initially, the interval is large. He gradually reduces the interval and fixes it at a value when the echo of a clap merges with the next clap. If he has to clap 10 times during every 3 seconds, find the velocity of sound in air.

Q. A boy was carrying a basket of eggs. He fell down and some of the eggs were broken. The boy has 10 eggs left with him. When asked by his mother, how many eggs were broken, the boy could not recall. However, he racalled that when 1 egg was left, he counted 3 at a time. When counted 4 at a time, 1 egg was left and when counted 5 at a time, no egg was left. Minimum how many eggs were broken?

Join BYJU'S Learning Program

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 reacheed 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.