dylanyarborough03 dylanyarborough03
  • 01-12-2020
  • Mathematics
contestada

The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?

Respuesta :

Muscardinus Muscardinus
  • 06-12-2020

Answer:

[tex]a_{200}=418[/tex]

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

[tex]a_n=20+(n-1)2[/tex] ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

[tex]a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418[/tex]

So, the 200th term of the sequence is 418.

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