karlalopezv56j karlalopezv56j
  • 21-07-2021
  • Mathematics
contestada

What is the 100th term of the arithmetic sequence below?
4, 11, 18, 25

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Respuesta :

jimrgrant1 jimrgrant1
  • 21-07-2021

Answer:

a₁₀₀ = 697

Step-by-step explanation:

The nth 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 = 4 and d = a₂ - a₁ = 11 - 4 = 7 , then

a₁₀₀ = 4 + (99 × 7) = 4 + 693 = 697

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