matilda97 matilda97
  • 01-11-2019
  • Mathematics
contestada

Explicit formula for the arithmetic sequence 37,74,111,148

Respuesta :

hlslily
hlslily hlslily
  • 01-11-2019
Each value increases by 37
The explicit formula is:
a(n)=37+37(n-1)
Answer Link
jimrgrant1 jimrgrant1
  • 01-11-2019

Answer:

[tex]a_{n}[/tex] = 37n

Step-by-step explanation:

The explicit formula for 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 = 37 and d = 74 - 37 = 37, thus

[tex]a_{n}[/tex] = 37 + 37(n - 1) = 37 + 37n - 37 = 37n

Answer Link

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