MarMar752 MarMar752
  • 02-11-2019
  • Mathematics
contestada

Find “n" (the number of the term in the sequence)

an = 1797

a1 = 6

d = 9

n =?

PLEASE SHOW WORK

Respuesta :

jimrgrant1 jimrgrant1
  • 02-11-2019

Answer:

n = 200

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 = 6 and d = 9, thus

[tex]a_{n}[/tex] = 6 + 9(n - 1) = 6 + 9n - 9 = 9n - 3

Now [tex]a_{n}[/tex] = 1797, so

9n - 3 = 1797 ( add 3 to both sides )

9n = 1800 ( divide both sides by 9 )

n = 200

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