Question

Here are the first five terms of an arithmetic sequence. 26 19 12 5 -2 Find an expression, in terms of n, for the nth term of this sequence.

Answer 1

Answer:Given that,

a=26,d=-7

Now,an=a+(n-1)d

an=26+(n-1)(-7)

an=26-7n+7

an=-7n+33

Step-by-step explanation:

Here is ur answer frnd....

Answer 2

Concept:

Arithmetic sequence refers to the sequence which has a common difference between the two consecutive terms.

Given:

We are given an arithmetic sequence:

26, 19, 12, 5, -2 ...

Find:

We need to find an expression in terms of n, for the nth term of this sequence.

Solution:

We have:

26, 19, 12, 5, -2 ...

The common difference will be:

common difference = d = 19 - 26

d = - 7

a ( initial term ) = 26

Formula for nth term is:

aₙ = a + (n - 1) d

Substituting the values:

aₙ = 26 + (n - 1) (- 7)

aₙ = 26 - 7n + 7

aₙ = 33 - 7n

Therefore, the expression that we get is aₙ = 33 - 7n.

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