Advertisements
Advertisements
प्रश्न
Write the 25th term of an A.P. 12,16,20,24, .......
उत्तर
The given A.P. is 12, 16, 20, 24, ....
Here, a = 12 , d = t2 - t1 = 16 - 12 = 4
tn = a + (n-1)d
∴ t25 = 12 + (25 - 1)(4)
= 12 + 24(4)
= 12 +96
t25 = 108
The 25th term of the A.P. is 108.
APPEARS IN
संबंधित प्रश्न
In the following situation, involved make an arithmetic progression? and why?
The amount of money in the account every year, when ₹ 10000 is deposited at compound interest at 8% per annum.
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
0.2, 0.22, 0.222, 0.2222 ….
Write the next two terms of A.P. whose first term is 3 and the common difference is 4.
If the 10th term of an A.P. is 52 and the 17th term is 20 more than the 13th term, find the A.P.
Which of the following sequences are arithmetic progressions . For those which are arithmetic progressions, find out the common difference.
`1/2, 1/4, 1/6, 1/8 ......`
Is −150 a term of the A.P. 11, 8, 5, 2, ...?
Find the term of the arithmetic progression 9, 12, 15, 18, ... which is 39 more than its 36th term.
There is an auditorium with 27 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the 15th row and also find how many total seats are there in the auditorium?
First term a and common difference d are given below. Find the corresponding A.P.
a = 7, d = – 5
If 3 + k, 18 – k, 5k + 1 are in A.P. then find k
Find x, y and z, given that the numbers x, 10, y, 24, z are in A.P.
The sum of three consecutive terms that are in A.P. is 27 and their product is 288. Find the three terms
If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is
If the sequence t1, t2, t3 … is in A.P. then the sequence t6, t12, t18 … is
Choose the correct alternative answer for the following sub question
For an A.P. 5, 12, 19, 26, … a = ?
The next term of the sequence `1/(1+sqrtx), 1/(1-x), 1/(1-sqrtx)` is (x ≠ 1).
Which of the following form an AP? Justify your answer.
1, 1, 2, 2, 3, 3,...
Match the APs given in column A with suitable common differences given in column B.
| Column A | Column B |
| (A1) 2, –2, –6, –10,... | (B1) `2/3` |
| (A2) a = –18, n = 10, an = 0 | (B2) –5 |
| (A3) a = 0, a10 = 6 | (B3) 4 |
| (A4) a2 = 13, a4 = 3 | (B4) –4 |
| (B5) 2 | |
| (B6) `1/2` | |
| (B7) 5 |
For arithmetic progression, first term is – 8 and last term is 55. If sum of all these terms is 235, find the number of terms and common difference.
If k + 2, 4k – 6 and 3k – 2 are three consecutive terms of an A.P., then the value of k is ______.
