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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

Check whether the following sequence is in A.P. -13,0,13,23,... - Mathematics

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प्रश्न

Check whether the following sequence is in A.P.

`(-1)/3, 0, 1/3, 2/3, ...`

योग

उत्तर

`(-1)/3, 0, 1/3, 2/3, ...`

t2 – t1 = `0 - (- 1/3)`

= `0 + 1/3 = 1/3`

t3 – t2 = `1/3 - 0 = 1/3`

t2 – t1 = t3 – t

The sequence is in A.P.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Numbers and Sequences - Exercise 2.5 [पृष्ठ ६१]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 2 Numbers and Sequences
Exercise 2.5 | Q 1. (iv) | पृष्ठ ६१

संबंधित प्रश्न

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In a theatre, there are 20 seats in the front row and 30 rows were allotted. Each successive row contains two additional seats than its front row. How many seats are there in the last row?


The ratio of 6th and 8th term of an A.P. is 7:9. Find the ratio of 9th term to 13th term


In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.


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

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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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