Question

2,2,2,2..., Determine if the given sequences represent an AP, assuming that the pattern continues. If it is an AP, find the nth term.

Answer 1

notice that formula for nth term
a+(n-1)d

Answer 2

Given sequence :

2 , 2 , 2 , 2 ,...

a2 - a1 = 2 - 2 = 0

a3 - a2 = 2 - 2 = 0

Therefore ,

a3 - a2 = a2 - a1 = 0

Difference between any two

successive terms is equal .

Given sequence is an A.P.

Now ,

First term ( a ) = 2 ,

Common difference (d ) = 0

Let number of terms = n

nth term = an = a + ( n - 1 )d

= 2 + ( n - 1 )× 0

= 2

Therefore ,

nth term = an = 2

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