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Leni [432]
3 years ago
11

Find the missing term of the following arithmetic sequence

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

a₂ = - 28.5

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 = - 45 and given a₃ = - 12 , then

a₁ + 2d = - 12 , that is

- 45 + 2d = - 12 ( add 45 to both sides )

2d = 33 ( divide both sides by 2 )

d = 16.5

Then

a₂ = a₁ + d = - 45 + 16.5 = - 28.5

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