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प्रश्न
Which of the following form an AP? Justify your answer.
`1/2, 1/3, 1/4, ...`
उत्तर
We have a1 = `1/2` , a2 = `1/3` and a3 = `1/4`
a2 – a1 = `-1/6`
a3 – a2 = `-1/12`
Clearly, the difference of successive terms is not same
Therefore given list of numbers does not form an AP.
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संबंधित प्रश्न
For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P?
Determine the general term of an A.P. whose 7th term is –1 and 16th term 17
For the following arithmetic progressions write the first term a and the common difference d:
−1.1, −3.1, −5.1, −7.1, ...
is the Consider the expression an = 2n − 1, AP .
Choose the correct alternative answer for the following sub question
For an A.P. 5, 12, 19, 26, … a = ?
1, 7, 13, 19 ...... find 18th term of this A.P.
Which of the following form an AP? Justify your answer.
–1, –1, –1, –1,...
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 |
If –5, x, 3 are three consecutive terms of an A.P., then the value of x is ______.
