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प्रश्न
Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.
12, 32, 52, 72, ...
उत्तर
12, 32, 52, 72, ...
Here,
First term (a) = 12
`a_1 = 3^2`
`a_2 = 5^2`
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 = 3^2 - 1^2`
= 9 - 1
= 8
Also,
`a_2 - a_1 = 5^2 - 3^2`
= 25 -9
= 16
Since `a_1 - a ≠ a_2 - a_1`
Hence, the given sequence is not an A.P
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