Advertisements
Advertisements
प्रश्न
The 17th term of an AP exceeds its 10th term by 7. Find the common difference.
उत्तर
We know that,
For an A.P., an = a + (n − 1) d
a17 = a + (17 − 1) d
a17 = a + 16d
Similarly, a10 = a + 9d
It is given that
a17 − a10 = 7
(a + 16d) − (a + 9d) = 7
7d = 7
d = `7/7`
d = 1
Therefore, the common difference is 1.
APPEARS IN
संबंधित प्रश्न
In the following APs, find the missing terms in the boxes:
`square, 38, square, square, square, -22`
Which term of the A.P. 8, 14, 20, 26, ... will be 72 more than its 41st term?
Find the next five terms of the following sequences given by:
`a_1 = a_2 = 2, a_n = a_(n - 1) - 3, n > 2`
Find the second term and nth term of an A.P. whose 6th term is 12 and 8th term is 22.
Find the 10th term from the end of the A.P. 8, 10, 12, ..., 126.
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
(i) 9, 15, 21, 27,…………
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
(iv) 2, 8, 18, 32,..........
The 17th term of AP is 5 more than twice its 8th term. If the 11th term of the AP is 43, find its nth term.
The 16th term of an AP is 1 more than twice its 8th term. If the 12th term of the AP is 47, then find its nth term ?
The nth term of an A.P. is 6n + 2. Find the common difference.
Next term of the AP `sqrt2, 3sqrt2, 5sqrt2,...` is ______.
The 6th term from the end of the AP: 5, 2, -1, -4, …., -31, is ______.
Which term of the AP: 92, 88, 84, 80 … is 0?
The 11th term of the AP: `-5, (-5)/2, 0, 5/2, ...` is ______.
The number of multiples lie between n and n2 which are divisible by n is ______.
Find the 12th term from the end of the AP: –2, –4, –6,..., –100.
Which term of the AP: 53, 48, 43,... is the first negative term?
In an A.P., the first term is 12 and the common difference is 6. If the last term of the A.P. is 252, then find its middle term.