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VMariaS [17]
4 years ago
11

Can some one tell me what the geometric sequence of

Mathematics
1 answer:
GalinKa [24]4 years ago
4 0

Answer:

\boxed{a_{n} = 250(0.4)^{n - 1}}\\

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

\boxed{a_{n} = 250(0.4)^{n - 1}}\\

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