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Katena32 [7]
2 years ago
8

Write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The n th 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 = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

a_{n} = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

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