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3 years ago

Write an explicit formula for the arithmetic sequence 15.6, 15, 14.4, 13.8,..., and then find the 32nd term.

Mathematics

1 answer:

uysha [10]3 years ago

5 0

Answer: the 32nd term is - 3

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 15.6

d = 15 - 15.6 = 14.4 - 15 = - 0.6

n = 32

The explicit formula for the arithmetic sequence is

Tn = 15.6 - 0.6(n - 1)

We want to determine the value of the 32nd term, T32. Therefore,

T32= 15.6 - 0.6 (32 - 1)

T32 = 15.6 - 18.6

T32 = - 3

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Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
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We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
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And finally add 1 1/5 to both sides of the equation.
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$y = \frac{2}{5} x + \frac{1}{5}$

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DedPeter [7]

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2 years ago

Why is the number 19/100 a rational number?

Kobotan [32]

Answer:

B. It is the quotient of 19 divided by 100

Step-by-step explanation:

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3 years ago

Write a formula for this sequence: 8,-1,-10,-19

Romashka [77]

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