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andreyandreev [35.5K]
3 years ago
12

Write the explicit rule by writing each term as the product of the first term.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

Answer:

1 f(n) = 3(5)^x-1

2 f(n) = 40(3/2)^x-1

Step-by-step explanation:

The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.

weeeeeb [17]3 years ago
7 0

Answer:

Step-by-step explanation:

1 f(n) = 3(5)^x-1

2 f(n) = 40(3/2)^x-1

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What is the distance between (-3, 4) and (4, 4)
svetoff [14.1K]

Answer:

7 units

Step-by-step explanation:

\sqrt{|-3-4|^{2}-|4-4|^{2}}

=7

3 0
3 years ago
Read 2 more answers
What is the greatest common factor of 32 and 48
Bond [772]
Turn each number into the product of it's prime factors.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.
4 0
3 years ago
Read 2 more answers
Please help I need this please help please just me help
Nikitich [7]

Answer:

It would take 4 minutes.

Step-by-step explanation:

Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21

Step 2: Divide 84 by 21 to get 4 minutes

3 0
2 years ago
HELP PLEASE! I will rate 5 stars and give brainliest!!!
larisa86 [58]

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

a_{n} = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

a_{n} = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

a_{n} = a_{n-1} - 7 with a₁ = - 18 ← recursive formula

5 0
3 years ago
Rewrite the equation below so that it does not have fractions.
Andru [333]

Answer:

x= - 50/9

Step-by-step explanation:

multipy both equations by 12

9x+60=10

then move the constant to the right hand side and change it's sign

9x= 10 - 60

calculate difference

9x = -50

divide both sides by 9

x= - 50/9

6 0
1 year ago
Read 2 more answers
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