Find The Nth Or General Term Of The Arithmetic Sequence Of 2 4 6

Find the nth or general term of the arithmetic sequence of 2 4 6

 

ANSWER :

The nth term is An = 2n.

STEP BY STEP EXPLANATION :

An = A1 + (n - 1) × R

An = 2 + (n - 1) × (4 - 2)

An = 2 + (n - 1) × 2

An = 2 + 2n - 2

An = 2n + 2 - 2

An = 2n

  • Testing...

The 1th term.

An = 2n

A1 = 2(1)

A1 = 2

The 2th term.

An = 2n

A2 = 2(2)

A2 = 4

The 3th term.

An = 2n

A3 = 2(3)

A3 = 6

Therefore , the nth term is An = 2n.

OK.


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