manoora2017 manoora2017
  • 23-07-2020
  • Mathematics
contestada

How many terms are in the arithmetic sequence 7, 0, –7, …,–175?

Respuesta :

sowjanyagudimetla6
sowjanyagudimetla6 sowjanyagudimetla6
  • 23-07-2020

Answer:

27 terms

Step-by-step explanation:

a1 = 7

nth term is -175

common difference d= 0-7 = -7 or -7 - 0 = -7

nth term = first term + ( n-1) * common difference

-175 = 7 + ( n - 1 ) * (- 7)

-175 = 7 - 7n + 7

-175 = 14 - 7n

-175-14 = -7n

-189 = - 7n

n= -189 /-7

n=27

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