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Veseljchak [2.6K]
4 years ago
14

What is the quadric regression equation that fits these data

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
6 0
Where’s the data?................
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Find a4 for the arithmetic series with S4=-36 and a1=9
erastova [34]

ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

S_n= \frac{n}{2} (2a_1+d(n-1))

It was given that,

S_4 =  - 36

a_1 = 9

- 36= \frac{ 4}{2} (2 \times 9+d(4-1))

-36=2(18+3d)

-18=18+3d

-18 - 18 = 3d

3d =  - 36

d =  - 12

The n-term is given by:

a_n=a_1+ (n-1)d

We substitute n=4 to get,

a_4=9+ (4-1)  \times -12

a_4=9+ 3\times -12

a_4=9 - 36

a_4= - 27

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Step-by-step explanation:

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Last year, Shane grew 2/3 of an inch and his brother grew 1/3 of an inch. How much more did Shane grow than his brother?
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