हिंदी

Which of the following form an AP? Justify your answer. 2, 22, 23, 24,... - Mathematics

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प्रश्न

Which of the following form an AP? Justify your answer.

2, 22, 23, 24,...

योग

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithematic Progressions - Exercise 5.2 [पृष्ठ ४९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 5 Arithematic Progressions
Exercise 5.2 | Q 1.(vi) | पृष्ठ ४९

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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.


Nitesh wants to participate in the push-up challenge. He can currently make 3000 push-ups in one hour. But he wants to achieve a target of 3900 push-ups in 1 hour for which he practices regularly. With each day of practice, he is able to make 5 more push-ups in one hour as compared to the previous day. If on first day of practice he makes 3000 push-ups and continues to practice regularly till his target is achieved. Keeping the above situation in mind answer the following questions:

  1. 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?
  2. Find the total number of push-ups performed by Nitesh up to the day his goal is achieved.

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