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chubhunter [2.5K]
2 years ago
11

What is a formula for the nth term of a given sequence

Mathematics
2 answers:
Sedbober [7]2 years ago
7 0

Answer:

a_{n} = -12-4(n-1)

Step-by-step explanation:

We have given a arithmetic sequence.

-12,-16,-20,...

We have to find formula for a given sequence.

The general formula for nth term of sequence is :

a_{n} = a_{1}+d(n-1)

In given sequence,

a_{1} = -12

d is the common difference between consecutive terms.

d = -16-(-12)  = -16+12

d = -4

Putting given values in formula, we have

a_{n} = -12-4(n-1) which is the answer.

IceJOKER [234]2 years ago
5 0

Answer:

a_n=-12-4(n-1)

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is a_1=-12.

The common difference is

d=-16--12

d=-16+12=-4

The nth term of this arithmetic sequence is;

a_n=a_1+d(n-1)

We substitute the values for the first term and the common difference to obtain;

a_n=-12-4(n-1)

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