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svlad2 [7]
3 years ago
10

Which formula can be used to describe the sequence below? 27,9,3,1,1/3

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Answer:

D. an=3an-1-1/3;a1=27

Step-by-step explanation:

givi [52]3 years ago
5 0
This is a geometric sequence with an initial term of 27 and a common ratio of 1/3

This just means that each term is 1/3 the term preceding it.

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:

a(n)=27(1/3)^(n-1)
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Beth normally cycles a total distance of 56 miles per week.
Vikki [24]

Answer:

She will cycle 85.169 miles in the third week.

(round if needed)

Step-by-step explanation:

56÷100=0.56 (this is 1%)

0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)

repeat for the other 3 weeks

64.4÷100=0.644

0.644 x 15 + 64.4 = 74.06

74.06÷100=0.7406

0.7406 x 15 + 74.06 = 85.169

8 0
3 years ago
Mary's total bill for a used car is $2,700.00. If she pays an equal amount each month for an entire year, how much will she have
nasty-shy [4]

Answer:

  $225

Step-by-step explanation:

When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.

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  1/12 × $2700 = $225

Mary will have to pay $225 each month.

4 0
1 year ago
Asher opened a savings account by making an initial deposit and setting up weekly automatic deposits as shown in the graph. How
Sergio [31]

Answer:

  • y = 7.5x + 20

Step-by-step explanation:

As per the graph, the y-intercept is 20 which is the initial amount.

Another marked point has coordinates (4, 50).

<u>The slope is:</u>

  • m = (50 - 20)/4 = 7.5

<u>The equation of the line is:</u>

  • y = 7.5x + 20

$20 is the initial deposit and weekly deposit is $7.5

5 0
2 years ago
Read 2 more answers
A local electronics store raised its prices on headphones by 20%. The headphones that Stan wants to buy now cost $36. How much d
atroni [7]
You would do 36$ -20% =28.8
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3 years ago
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USPshnik [31]
Sue is 12 and her father is 42
7 0
3 years ago
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