Advertisements
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Write the sequence with nth term: an = 9 − 5n
Which of the following sequences are arithmetic progressions . For those which are arithmetic progressions, find out the common difference.
`1/2, 1/4, 1/6, 1/8 ......`
Find the 10th term of the AP 1,4, 7, 10….
The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.
The 7th term of an A.P. is 32 and its 13th term is 62. Find the A.P.
For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k − 1 form an AP?
Find the middle term of the A.P. 213, 205, 197, ...., 37.
Write the two terms of the A.P. 2,5,8,11,...
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?
If a, b, c, d, e are in A.P., then the value of a - 4b + 6c - 4d + e is ______.