Advertisements
Advertisements
प्रश्न
Fill in the blank in the following table, given that a is the first term, d the common difference, and an nth term of the AP:
| a | d | n | an |
| -18 | ______ | 10 | 0 |
उत्तर
| a | d | n | an |
| -18 | 2 | 10 | 0 |
Explanation:
Given that
a = -18, n = 10, an = 0, d = ?
We know that,
an = a + (n - 1) d
0 = -18 + (10 - 1) d
18 = 9d
d = `18/9`
d = 2
Hence, common difference, d = 2
APPEARS IN
संबंधित प्रश्न
Choose the correct choice in the following and justify:
30th term of the AP: 10, 7, 4, ..., is ______.
In the following APs, find the missing term in the boxes:
`-4, square, square, square, square, 6`
Which term of the A.P. 3, 8, 13, 18, ..., is 78?
How many three-digit numbers are divisible by 7?
Write the first five terms of the following sequences whose nth terms are:
`a_n = (3n - 2)/5`
Which term of the A.P. 4, 9, 14, ... is 254?
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 34. Find the first term and the common difference of the A.P.
The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.
A man saved Rs. 32 during the first year, Rs 36 in the second year and in this way he increases his saving by Rs 4 every year. Find in what time his saving will be Rs. 200.
Find the 37th term of the AP 6 , 7 `3/4 , 9 1/2 , 11 1/4,.............`
Find the nth term of the following Aps:
16, 9, 2, -5, …..
Find the middle term of the sequence formed by all three-digit numbers which leave a remainder 3, when divided by 4. Also find the sum of all numbers on both sides of the middle term separately ?
Find the number of terms of the AP 18, `15``1/2` 13, ….., `49``1/2` and find the sum of all its terms n?
The nth term of an A.P. 5, 2, -1, -4, -7 … is ______.
The 10th term from the end of the A.P. 4, 9,14, …, 254 is ______.
What is the common difference of an AP in which a18 – a14 = 32?
The 4th term from the end of the AP: –11, –8, –5, ..., 49 is ______.
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.
