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प्रश्न
Which of the following form an AP? Justify your answer.
2, 22, 23, 24,...
उत्तर
We have a1 = 2 , a2 = 22, a3 = 23 and a4 = 24
a2 – a1 = 22 – 2
= 4 – 2
= 2
a3 – a2 = 23 – 22
= 8 – 4
= 4
Clearly, the difference of successive terms is not same
Therefore given list of numbers does not form an AP.
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Case Study Push-ups are a fast and effective exercise for building strength. These are helpful in almost all sports including athletics. While the push-up primarily targets the muscles of the chest, arms, and shoulders, support required from other muscles helps in toning up the whole body.
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- Form an A.P representing the number of push-ups per day and hence find the minimum number of days he needs to practice before the day his goal is accomplished?
- Find the total number of push-ups performed by Nitesh up to the day his goal is achieved.