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yanalaym [24]
2 years ago
7

Write an equation for the nth term of each geometric sequence: 1) 2,-6,18,… 2) 5,10,20,…

Mathematics
1 answer:
Inga [223]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The nth term of a geometric sequence is

a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

(1)

a₁ = 2 and r = \frac{a_{2} }{a_{1} } = \frac{-6}{2} = - 3 , then

a_{n} = 2 -3)^{n-1}

(2)

a₁ = 5 and r = \frac{10}{5} = 2 , then

a_{n} = 5 (2)^{n-1}

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