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 |
| -18.9 | 2.5 | ______ | 3.6 |
उत्तर
| a | d | n | an |
| -18.9 | 2.5 | 10 | 3.6 |
Explanation:
a = -18.9, d = 2.5, an = 3.6, n = ?
We know that,
an = a + (n - 1) d
3.6 = -18.9 + (n - 1) 2.5
3.6 + 18.9 = (n - 1) 2.5
22.5 = (n - 1) 2.5
`("n" - 1) = (22.5)/2.5`
n - 1 = 9
n = 10
Hence, n = 10
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 box:
`square, 13, square, 3`
Two APs have the same common difference. The difference between their 100th term is 100, what is the difference between their 1000th terms?
Write the first five terms of the following sequences whose nth term are:
`a_n = (n - 2)/3`
The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.
The first term of an A.P. is 5 and its 100th term is -292. Find the 50th term of this A.P.
The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find 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.
Find:
(i) the 20th term of the AP 9,13,17,21,..........
Find:
the 18th term of the AP `sqrt(2), sqrt (18), sqrt(50), sqrt(98)`,...........
A child puts one five-rupee coin of her saving in the piggy bank on the first day. She increases her saving by one five-rupee coin daily. If the piggy bank can hold 190 coins of five rupees in all, find the number of days she can continue to put the five-rupee coins into it and find the total money she saved.
Write your views on the habit of saving.
Sum of the first 20 terms of an AP is −240, and its first term is 7. Find its 24th term ?
If m times the mth term of an Arithmetic Progression is equal to n times its nth term and m ≠ n, show that the (m + n)th term of the A.P. is zero.
Next term of the AP `sqrt2, 3sqrt2, 5sqrt2,...` is ______.
Which term of the AP: 27, 24, 21, ……… is zero?
In an AP, if d = –4, n = 7, an = 4, then a is ______.
If the third and the ninth terms of an AP are 4 and -8 respectively, which term of this AP is zero?
Is 0 a term of the AP: 31, 28, 25, ...? Justify your answer.
Write the first three terms of the APs when a and d are as given below:
a = –5, d = –3
Which term of the AP: 21, 42, 63, 84,... is 210?
