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Elza [17]
3 years ago
14

Find a formula for an arithmetic sequence that begins 80, 83, 86, 89, ...​

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

a_{n} = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

a_{n} = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

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Answer:

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2 years ago
In the diagram triangles ABE and ACD are similar.
jolli1 [7]

Answer:

p = 7.2

q = 6.4

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional :

AC/BA = CD/BE

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3 0
2 years ago
Clark has a box of nickels and dimes that totals $1.90. there are a total of 27 coins. how many nickels and dimes does he have?
Andrej [43]
$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d

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1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11

n = 27 - 11
n = 16

$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
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Which statement is an example of the Identify Property of Multiplication
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Answer:

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Step-by-step explanation:

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It's C)12 squared because you have to look outside of the box
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