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lara [203]
3 years ago
10

(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term

of 3? (Answers are attached as a picture)

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

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