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 term in the box:
`square, 13, square, 3`
In the following APs, find the missing term in the boxes:
`-4, square, square, square, square, 6`
Write the first five terms of the following sequences whose nth terms are:
`a_n = (3n - 2)/5`
Write the first five terms of the following sequences whose nth terms are:
an = n2 − n + 1
A man saved Rs 16500 in ten years. In each year after the first, he saved Rs 100 more than he did in the preceding year. How much did he save in the first year?
A man arranges to pay off a debt of Rs 3600 by 40 annual instalments which form an arithmetic series. When 30 of the instalments are paid, he dies leaving one-third of all debt unpaid, finds the value of the first instalment.
Find:
(ii) the 35th term of AP 20,17,14,11,..........
Find the 37th term of the AP 6 , 7 `3/4 , 9 1/2 , 11 1/4,.............`
How many terms are there in the AP 6,1 0, 14, 18, ….., 174?
If Sn denotes the sum of the first n terms of an A.P., prove that S30 = 3 (S20 − S10) ?
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 ?
Which term of the AP: 27, 24, 21, ……… is zero?
In an AP, if d = –4, n = 7, an = 4, then a is ______.
Which term of the AP: 3, 15, 27, 39, … will be 132 more than its 54th term?
Write the first three terms of the APs when a and d are as given below:
a = `sqrt(2)`, d = `1/sqrt(2)`
The 26th, 11th and the last term of an AP are 0, 3 and `- 1/5`, respectively. Find the common difference and the number of terms.
How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
The first four terms of an AP, whose first term is –2 and the common difference is –2, are ______.
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be ______.
