dawsonhenry2004
dawsonhenry2004 dawsonhenry2004
  • 09-09-2020
  • Mathematics
contestada

Find a formula for the nth term in this
arithmetic sequence:
a1 = 9, a2 = 13, a3 = 17, 24 = 21, ...

PLS help

Respuesta :

jimrgrant1 jimrgrant1
  • 09-09-2020

Answer:

[tex]a_{n}[/tex] = 4n + 5

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = a₂ - a₁ = 13 - 9 = 4 , thus

[tex]a_{n}[/tex] = 9 + 4(n - 1) = 9 + 4n - 4 = 4n + 5

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