Using the property of exponents, what do you need to multiply 10^-2 by to get 10^-4?
1 answer:
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Answer:
= 4
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
= 4
n = 2
distribute and simplify left side of equation
50 - 10n - 1 = 29
49 - 10n = 29 ( subtract 49 from both sides )
- 10n = 29 - 49 = - 20
n = = 2