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Write an explicit formula for an, the nth term of the sequence 26, 24, 22

Sagot :

varshamittal029

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

Learn more about arithmetic sequence here:

https://brainly.com/question/6561461

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