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monitta
3 years ago
5

The first term in this sequence is -1. Write the function that represents the sequence

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

a_{n} = 2n - 3

Step-by-step explanation:

Note the difference in consecutive terms is constant, that is

1 - (- 1) = 3 - 1 = 5 - 3 = 7 - 5 = 2

This indicates that the terms are an arithmetic sequence with

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 2, thus

a_{n} = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

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