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 |
| ______ | -3 | 18 | -5 |
उत्तर
| a | d | n | an |
| 46 | -3 | 18 | -5 |
Explanation:
Given that
d = -3, n = 18, an = -5
We know that,
an = a + (n - 1) d
-5 = a + (18 - 1) (-3)
-5 = a + (17) (-3)
-5 = a - 51
a = 51 - 5
a = 46
Hence, a = 46
APPEARS IN
संबंधित प्रश्न
The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the A.P.
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`
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?
Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each
(ii) 11, 6, 1, – 4,……..
Find:
the 9th term of the AP `3/4 , 5/4 , 7/4 , 9/4 ,.........`
Find the nth term of the following Aps:
16, 9, 2, -5, …..
The nth term of an A.P. is 6n + 2. Find the common difference.
Next term of the AP `sqrt2, 3sqrt2, 5sqrt2,...` is ______.
20th term of the AP -5, -3, -1, 1, is ______.
The 6th term from the end of the AP: 5, 2, -1, -4, …., -31, is ______.
If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?
Write the first three terms of the APs when a and d are as given below:
a = –5, d = –3
What is the common difference of an AP in which a18 – a14 = 32?
Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. Then the difference between their 4th terms is ______.
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 |
| 3.5 | 0 | 105 | ______ |
Determine the A.P. whose third term is 5 and the seventh term is 9.
The sum of the first three terms of an A.P. is 33. If the product of the first and the third terms exceeds the second term by 29, find the A.P.
