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प्रश्न
Define an arithmetic progression.
उत्तर
An arithmetic progression is a sequence of terms such that the difference between any two consecutive terms of the sequence is always same.
Suppose we have a sequence `a_1,a_2,a_3,a_4,....`
So, if these terms are in A.P., then,
`a_2 - a_1 = d`
`a_1 - a_2 = d`
`a_4 - a_3 = d`
And so on…
Here, d is the common difference of the A.P.
Example: 1, 3, 5, 7, 9 … is an A.P. with common difference (d) as 2.
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संबंधित प्रश्न
In the following situation, involved make an arithmetic progression? and why?
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Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c.
If d = – 5, n = 10, an = 68, then find the first term.
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The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.
- If the first circular row has 30 seats, how many seats will be there in the 10th row?
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OR
If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after the 10th row? - If there were 17 rows in the auditorium, how many seats will be there in the middle row?
