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True [87]
3 years ago
5

Write the explicit formula for the arithmetic sequence. 2, -2, -6, -10, -14, ...

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

Answer:

B)an = 6 - 4n

Step-by-step explanation:Explicit Formula:

Explicit Formula: an = a1 + (n – 1)d

a1 = 2, d = -4

an = 2 + (n – 1)(-4) = 6 - 4n

goblinko [34]3 years ago
6 0
Given from the question
arithmetic sequence
a₁ = 2
a₂ = -2
a₃ = -6
and so on..

First, find the difference of the sequence
d = a₂ - a₁
d = -2 - 2
d = -4

Second, built the formula
General formula
an = a₁ + d(n - 1)

plug the numbers to the general formula
an = a₁ + d(n - 1)
an = 2 -4(n - 1)
an = 2 - 4n + 4
an = 2 + 4 - 4n
an = 6 - 4n

The answer is option B
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The mean length of 4 childrens' big finger is 14cm. The mean length of 9 adults' big finger is 16.1cm. What is the mean length (
Mamont248 [21]

Answer:

The mean length of the 13 people's big finger is 15.45 cm

Step-by-step explanation:

Given;

mean length of 4 childrens' big finger, x' = 14cm

mean length of 9 adults' big finger is 16.1cm, x'' = 16.1cm

Let the total length of the 4 childrens' big finger = t

x' = \frac{t}{n} \\\\x' = \frac{t}{4}\\\\t = 4x'\\\\t = 4 *14\\\\t = 56 \ cm

Let the total length of the 9 adults' big finger = T

x'' = \frac{T}{N} \\\\x'' = \frac{T}{9}\\\\T = 9x''\\\\T = 9*16.1\\\\T = 144.9 \ cm

The total length of the 13 people's big finger = t + T

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The mean length of these 13 people's big finger;

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Therefore, the mean length of the 13 people's big finger is 15.45 cm

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