Question

Justify if the series $11,22,33,...$ form an AP ?

Answer 1

Determine if the series $11,22,33,...$ form an AP

An AP isa sequence of numbers such that the difference in each ofthe consecutive terms are always same. The general form of the sequence is $a,a+d,a+2d,a+3d,....$ . Here the difference in each of consecutive term is $d$.

Check if the series form an AP:

The given series is in the form,

Let $a_n$ represents the nth term of the given sequence.

Then, $a_1=11,a_2=22,a_3=33$.

The difference between the first two consecutive terms is $a_2-a_1=22-11=11$.

The difference between the third and second terms is $a_3-a_2=33-22=11$.

Since the difference in each of the consecutive terms are same and is equal to $11$.

Hence, the given sequence form an AP.