Question

algebraic expression of an arithmetic sequence is 5n+2

a) Find the remainder when any term of this sequence is divided by 5 ?

b) Check whether 2021 is a term of this sequences?​

Answer 1

SOLUTION

GIVEN

Algebraic expression of an arithmetic sequence is 5n+2

TO DETERMINE

a) Find the remainder when any term of this sequence is divided by 5

b) Check whether 2021 is a term of this sequences

EVALUATION

Here it is given that algebraic expression of an arithmetic sequence is 5n + 2

a) Here 5n is divisible by 5

Also 2 < 5

Hence the required Remainder = 2

b) Let nth term of this sequences is 2021

So by the given condition

5n + 2 = 2021

⇒ 5n = 2019

⇒ n = 403.8

403.8 is not an natural number

So no term of the sequence is 2021

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