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Mathematics, 26.02.2021 20:30 Batzs3rdacct

1. What is the explicit formula for the sequence −6, −3, −1.5, −0.75, …? a. an=0.5⋅(−6)n−1

b. an=−0.5⋅(−6)n−1

c. an=−6⋅(−0.5)n−1

d. an=−6⋅0.5n−1

2. A geometric sequence is defined recursively as an+1=an⋅12, a1=23. What is the explicit formula for the sequence?

a. an=2/3+1/2(n−1)

b. an=1/2⋅(2/3)n−1

c. ​an=1/2+2/3(n−1)​

d. an=2/3⋅(1/2)n−1

3. Write a recursive formula for the sequence described with an explicit formula. an=5(−2)n−1

a. an+1=an⋅(−2), a1=5

b. an+1=an⋅5, a1=−2

c. an+1=an+(−2), a1=5

d. an+1=an+5, a1=−2

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