Question

check whether an=2021 ap or not​

Answer 1

Given :  aₙ = 2021

To Find : whether  aₙ = 2021 is in AP or not

Solution:

aₙ = 2021

aₙ   = a + (n - 1)d

a + (n - 1)d  = 2021

aₙ = 2021 is independent of n

=> a₁ = 2021 , a₂ = 2021  and so on

d = a₂ - a₁

= 2021 - 2021

= 0

Hence this is an AP with

a = 2021  and  d= 0

a = first term  , d = common difference

All terms of the AP are 2021

2021 , 2021 , 2021 , 2021 , ... and so on

Hence aₙ = 2021 is in an AP

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