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Ad libitum [116K]
3 years ago
8

Write an explicit formula for an, the nth term of the sequence 31, 37,43, ....

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Answer:

The formula for the nth term of this sequence is: 31 + (n-1)X6

Step-by-step explanation:

This is an arithmetic sequence (ie. each term is the last term with a fixed value added to it).

T1 =31

T2 = 37 = T1 + 6 = 31 + 6

T3 = 43 = T2 + 6 = 31 + 6 + 6 = 31 + 6X2

…

In general, the nth term is 31 + 6(n-1)

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Answer:

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Step-by-step explanation:

1.

A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.

2.

A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.

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