singsonallysa26 singsonallysa26
  • 26-03-2022
  • Mathematics
contestada

Which represents the arithmetic means of the following sequence: . . . , 3125, ___, ___, ___, 5? *

a. 2125, 1345, 565
b. 2345, 1565, 785
c. 2455, 1675, 895

Respuesta :

subtomex0
subtomex0 subtomex0
  • 26-03-2022

Let's start off by defining our first term as u⁰

u⁰ is unknown,u¹=3124,u² is unknown,ect..

Using the recurring formula which states;

u(n+1)=u(n)+d

u¹=u⁰+d

u⁰=u¹-d

u⁰=3125-d

Using the explicit relation, which states;

u(n)=u⁰+nd

u⁵=u⁰+5d

5=3125-d+5d

4d=-3120

d=-780

u²=u¹-780=3125-780=2345

u³=2345-780=1565

u⁴=1565-780=785

You answer is letter C

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