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प्रश्न
Choose the correct alternative answer for the following sub question.
In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______
विकल्प
8
6
2
– 2
उत्तर
2
APPEARS IN
संबंधित प्रश्न
The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is 1 less than twice its 8th term, find the AP.
If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that
(i) a (q – r) + b(r – p) + c(p – q) = 0
(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0
Find the common difference and write the next four terms of each of the following arithmetic progressions:
1, −2, −5, −8, ...
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 6, 12, 24, ...
How many terms are there in the A.P.?
`-1, 5/6, 2/3, 1/2,.....10/3`
Write the expression an- ak for the A.P. a, a + d, a + 2d, ... Hence, find the common difference of the A.P. for which
20th term is 10 more than the 18th term.
Find n if the given value of x is the nth term of the given A.P.
`1, 21/11, 31/11, 41/11,......, x = 171/11`
The 7th term of an A.P. is 32 and its 13th term is 62. Find the A.P.
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?
Find the common difference of the A.P. and write the next two terms 75, 67, 59, 51, ...
Define an arithmetic progression.
Check whether the following sequence is in A.P.
a – 3, a – 5, a – 7, …
Find the first term and common difference of the Arithmetic Progressions whose nth term is given below
tn = 4 – 7n
In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.
First four terms of an A.P., are ______ whose first term is –2 and the common difference is –2.
In an AP, if d = -2, n = 5 and an = 0, the value of a is ______.
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 |
Verify that the following is an AP, and then write its next three terms.
a + b, (a + 1) + b, (a + 1) + (b + 1),...
The 20th term of an A.P, whose first term is – 2 and the common difference is 4, is ______.
