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प्रश्न
Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.
3, 6, 12, 24, ...
उत्तर
In the given problem, we are given various sequences.
We need to find out that the given sequences are an A.P or not and then find its common difference (d)
3, 6, 12, 24, ...
Here
First term (a) = 3
`a_1 = 6`
`a_2 = 12`
Now, for the given to sequence to be an A.P,
Common difference (d) = `a_1 - a = a_2 - a_1`
Here
`a_1 - a = 6 - 3`
= 3
Also
`a_2 - a_1 = 12 - 6`
= 6
Since `a_1 - a != a_2 - a_1`
Hence, the given sequence is not an A.P
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संबंधित प्रश्न
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OR
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- Which number is on first spot? 1
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OR - What is the sum of all the numbers on the first 10 spots? 2
- Which spot is numbered as 112? 2
- Which number is on the (n – 2)th spot? 1
