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24-04-2021
Mathematics

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Find the 9th term of the geometric sequence 5, -25, 125, ...

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24-04-2021

9514 1404 393

Answer:

1,953,125

Step-by-step explanation:

The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...

an = a1×r^(n-1)

an = 5×(-5)^(n-1)

So, the 9th term is ...

a9 = 5×(-5)^(9-1) = 1,953,125

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