Advertisements
Advertisements
Question
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 |
Solution
| 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
RELATED QUESTIONS
In the following APs, find the missing term in the box:
2, `square`, 26
Which term of the A.P. 8, 14, 20, 26, ... will be 72 more than its 41st term?
Write the first five terms of the following sequences whose nth terms are:
`a_n = 3^n`
Write the first five terms of the following sequences whose nth terms are:
`a_n = (n(n - 2))/2`
Write the first five terms of the following sequence whose nth term is:
an = 2n2 − 3n + 1
Find the indicated terms in the following sequences whose nth terms are:
an = 5n - 4; a12 and a15
Find the indicated terms in each of the following sequences whose nth terms are
an = n (n −1) (n − 2); a5 and a8
Find the next five terms of the following sequences given by:
`a_1 = -1, a_n = (a_n - 1)/n, n>= 2`
Which term of the A.P. 84, 80, 76, ... is 248?
If the nth term of a progression is (4n – 10) show that it is an AP. Find its
(i) first term, (ii) common difference (iii) 16 the term.
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.
Reshma wanted to save at least Rs 6,500 for sending her daughter to school next year (after 12 month.) She saved Rs 450 in the first month and raised her savings by Rs 20 every next month. How much will she be able to save in next 12 months? Will she be able to send her daughter to the school next year?
What value is reflected in this question ?
The common difference of the AP `1/p, (1-p)/p, (1-2p)/p,...` is ______.
Which term of the AP: 92, 88, 84, 80 … is 0?
Two AP’s have the same common difference. The difference between their 100th terms 100, what is the difference between their 1000th terms.
Write the first three terms of the APs when a and d are as given below:
a = `1/2`, d = `-1/6`
How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3?
Which term of the AP: 21, 42, 63, 84,... is 210?
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.
