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I am Lyosha [343]
2 years ago
11

In arithmetic sequence the first term is 5 and the common difference is 4. Determine the 6th term of sequence

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
3 0

Answer:

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

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kakasveta [241]

The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.

<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

f(x) = a (x - h)² + k

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Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;

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Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;

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Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.

Read more on quadratic functions;

brainly.com/question/25841119

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1 year ago
Help me wiht this plssss
yulyashka [42]

Answer:

well you find. out how many all of them measure. and add them and then that answer multiply of the main number

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7 0
2 years ago
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