eman3839 eman3839
  • 21-09-2020
  • Mathematics
contestada

What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...

Respuesta :

CSMedrano
CSMedrano CSMedrano
  • 21-09-2020

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

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