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Sum of n Terms

Check whether...

Question

Check whether the following form an AP?
11, 22, 33,.....
Justify your answer, If AP then enter $1$ and if not then enter $0$ .

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Solution

Compare the given series with $a_{1}, a_{2}, a_{3} . . . . . .$ , we get
$a_{2} - a_{1} = 22 - 11 = 11$
$a_{3} - a_{2} = 33 - 22 = 11$ and so on.
Since the difference is common and equal to $11$ , therefore given series is AP.

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