Advertisements
Advertisements
Question
Find d if t9 = 23 व a = 7
Solution
t9 = 23 ......[Given]
∴ 7 + (9 – 1)d = 23 ......[tn = a + (n – 1)d]
∴ 7 + 8d = 23
∴ 8d = 16
∴ d = `16/8`
= 2
APPEARS IN
RELATED QUESTIONS
There is an auditorium with 35 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 twenty-fifth row.
If k, 2k- 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is
(A) 2
(B) 3
(C) -3
(D) 5
In an AP of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P.
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
0, -4, -8, -12, …
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
12, 2, −8, −18, ...
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
p, p + 90, p + 180 p + 270, ... where p = (999)999
Find 9th term of the A.P `3/4, 5/4, 7/4, 9/4,.....`
The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.
Which term of the A.P. 3, 10, 17, ... will be 84 more than its 13th term?
Find the common difference of the A.P. and write the next two terms 119, 136, 153, 170, ...
First term a and common difference d are given below. Find the corresponding A.P.
a = 5, d = 6
Find the 19th term of an A.P. – 11, – 15, – 19, ...
If (m + 1)th term of an A.P. is twice the (n + 1)th term, then prove that (3m + 1)th term is twice the (m + n + 1)th term
1, 7, 13, 19 ...... find 18th term of this A.P.
Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months?
If 2x, x + 10, 3x + 2 are in A.P., then x is equal to ______.
Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...
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 an A.P., if a = 7 and d = 2.5 then t12 = ?
If d = – 5, n = 10, an = 68, then find the first term.
