quayrob27 quayrob27
  • 01-12-2019
  • Mathematics
contestada

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

The first term in this sequence is 1 Write the function that represents the sequence class=

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jimrgrant1 jimrgrant1
  • 01-12-2019

Answer:

[tex]a_{n}[/tex] = 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

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 2, thus

[tex]a_{n}[/tex] = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

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