aveannleach
aveannleach aveannleach
  • 25-04-2019
  • Mathematics
contestada

Can some one tell me what the geometric sequence of


250,100,40,16 is?!!

I will mark brainliest to the best answer !!

Respuesta :

znk
znk znk
  • 25-04-2019

Answer:

[tex]\boxed{a_{n} = 250(0.4)^{n - 1}}\\[/tex]

Step-by-step explanation:

Step 1. Calculate the common ratio

a₁ = 250

a₂ = 100

a₃ =  40

a₄ =   16

The common ratio is

a₃/a₂ = 40/100  = 0.4

Step 2. Write the formula for the series

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

Thus, the formula for the series is

[tex]\boxed{a_{n} = 250(0.4)^{n - 1}}\\[/tex]

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