Advertisements
Advertisements
प्रश्न
First term and common difference of an A.P. are 12 and 4 respectively. If tn = 96 find n.
उत्तर
Given, first term = 12, common difference = 4 and tn = 96.
According to the formula,
tn = a + (n – 1) d
∵ tn = 96
∴ 96 = 12 + (n – 1) 4
⇒ 96 = 12 + 4n – 4
⇒ 96 = 8 + 4n
⇒ 4n = 96 – 8
⇒ 4n = 88
⇒ n = `88/4`
∴ n = 22
APPEARS IN
संबंधित प्रश्न
Find the sum of all three-digits natural numbers which are divisible by 13.
In an AP, the first term is -4, the last term is 29 and the sum of all its terms is 150. Find its common difference.
In an AP, the first term is 22, nth terms is -11 and sum of first n terms is 66. Find the n and hence find the4 common difference.
The sum of fist m terms of an AP is ( 4m2 - m). If its nth term is 107, find the value of n. Also, Find the 21st term of this AP.
A man saved ₹33000 in 10 months. In each month after the first, he saved ₹100 more than he did in the preceding month. How much did he save in the first month?
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P ?
Which of the following sequences are A.P.? If they are A.P. find the common difference.
2, 4, 6, 8, ...
Is the following sequences are A.P.? If is A.P. find the common difference.
Which of the following sequences are A.P. ? If they are A.P. find the common difference .
127, 132, 137,...
Write the correct number in the given boxes from the following A. P.
70, 60, 50, 40,...
Here t1 = 
, t2 = , t3 = ,...
∴ a = , d =
Sum of first 55 terms in an A.P. is 3300, find its 28th term.
The estimated tax on the income of Shreemati Hinduja is Rs. 8000. How much education cess has she to pay at 3% ?
Write a trinomial of degree 7.
Solve : 5m² - 22m-15 = 0
In the A.P. 2, –2, –6, –10, ..... common difference (d) is ______.
Amit saves a certain amount every month in a specific way. In the first month, he saves Rs. 200, in the second month Rs. 250, in the third month Rs.300 and so on. How much will be his total savings in 17 months?
Find the first four terms in A.P. When a = 10 and d = 3.
Find out the ratio of 1 mm to 1 cm.
