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Write an explicit formula for each geometric sequence
1000,200,40,...​

User Gandi
by
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1 Answer

5 votes

Answer:


\text Explicit \ Formula :\ a_(n)= 1000* ((1)/(5)) ^(n-1)

Explanation:

Let
\left( a_(n)\right) be our geometric sequence

The explicit formula for
\left( a_(n)\right) is :


a_(n)= a_1* r^(n-1)

where r is the common ratio

a1 is the first term

We notice that :

200/1000 = 1/5

40/200 = 1/5

⇒ r = 1/5


a_1 = 1000\ \ (given)

Conclusion:


a_(n)= 1000* ((1)/(5)) ^(n-1)

User JayChase
by
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