2 years ago

Find the explicit formula for the given sequence.

Mathematics

1 answer:

Art [367]2 years ago

4 0

Answer:

Option a.) an = -4(-3)^(n-1)

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If you need $3,000 four years from now, how much would you need to deposit into an account that earns 5% interest, compounded an

Aleks04 [339]

Answer:

2468.11 dollars

Step-by-step explanation:

Amount that should be available after four years =3000 $

Interest rate = 5%

No of years =4

Let P be the principal invested

Then $3000=P(1+0.05)^4\\P=3000(1.05)^{-4} \\=2468.11$

Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.

6 0

2 years ago

Write the first 5 terms of the arithmetic sequence whose first term is 8 and whose common difference is -6.

n200080 [17]

The formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
thus our first term will be:
a1=8
a2=8+(2-1)(-6)=2
a3=8+(3-1)(-6)=-4
a4=8+(4-1)(-6)=-10
a5=8+(5-1)(-6)=-16
a5=-16
thus the sequence will be:
8,2,-4,-10,-16...

6 0

2 years ago

Elijah drives 9 miles to his friends house in 1/6 hour. How fast does Elijah drive, in miles per hour? If he drives at this rate

katrin [286]

Answer:

He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.

Step-by-step explanation:

9 miles in 1/6 of an hour

9x6=driving speed of 54mph

54x2 is 108 miles

7 0

3 years ago