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प्रश्न
Find the nth term of the A.P. 13, 8, 3, −2, ...
उत्तर
nth term of the A.P. 13, 8, 3, −2, ...
Here
First term (a) = 13
Common difference of the A.P. (d) = 8 - 13
= -5
Now, as we know,
`a_n = a + (n - 1)d`
So for nth term
`a_n = a + (n -1)d`
`= 13 + (n - 1)(-5)`
`= 13 - 5n + 5`
= 18 - 5n
Therefore the nth term of the given A.P is `a_n = 18 - 5n`
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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?
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