4 years ago

Find the proportion of the missing number 7/a = 2/4

Mathematics

1 answer:

masya89 [10]4 years ago

8 0

Answer:

Step-by-step explanation:

7/a = 2/4

2a = 28

a = 14

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For the arithmetic sequence
a₁, a₂, a₃, ...,
the n-th term is
$a_{n}=a_{1}+(n-1)d$
where d = the common difference

Because a₅ = 12.4,
a₁ + 4d = 12.4 (1)
Because a₉ = 22.4,
a₁ + 8d = 22.4 (2)

Subtract (1) from (2).
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
d = 2.5
From (1),
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Therefore
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Step-by-step explanation:

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