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प्रश्न
State whether the following sequence is an A.P. or not?
1, 4, 7, 10, ………………..
उत्तर
1, 4, 7, 10, ……
Let ‘d’ be the common difference, ‘a’ be the common ratio, and t2 , t3, t4 be the 2nd, 3rd
and 4th term respectively.
Here t2 = 4, t3 = 7, t4 = 10
d = 4 – 1 = 3
a = 1
We know t2 – a = t3 − t2 = 3
Since the common difference is same throughout the series, therefore the series is an
A.P.
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संबंधित प्रश्न
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(b) The 34th term
(c) ‘n’ such that tn = 55
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| 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.
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