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Leno4ka [110]
3 years ago
14

Please help with the following question.

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

I think it would be the third option. I jiust guessed.

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Use inductive reasoning to find the next term in this sequence 2,3,5,9,17. Then explain the rule for the pattern.
NISA [10]

We have been given the sequence 2,3,5,9,17.

We can write the terms of this sequence as

2=2^0+1\\
3=2^1+1\\
5=2^2+1\\
9=2^3+1\\
17=2^4+1\\

From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .

For second term we take exponent 1 on 2 and then add 1 .

For third term we take exponent 2 on 2 and then add 1 .

Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .

Therefore, next term of the sequence is given by

2^5+1\\
=32+1\\
=33

Therefore, the next term is 33.

Using the above facts, the pattern is given by

a_n=2^{n-1}+1

7 0
3 years ago
Identify each as an example of exponential growth or decay. What is the y-intercept? What is the end behavior? 1)y=10(0.45)^x 2)
jeyben [28]
The best answer is number 1

5 0
3 years ago
A statement of an employee’s biweekly earnings is given below. What is the employee’s gross pay?
Olin [163]
The employee's gross pay
$726.80
3 0
3 years ago
Molly was allowed to trick or treat from 6:30 pm to 8:45pm if she averaged coating 2 houses every 9 minutes during that time how
MissTica

Answer:

30 houses

Step-by-step explanation:

Time from 6:30 pm to 8:45 pm = 2 hr 15 min

Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min

Average visit = 9 min per 2 houses = 4.5 min per house

Number of visits = 135 min ÷ 4.5 min/house = 30 houses

3 0
3 years ago
What is another way to write this number 300+70+5/10+8/100
trasher [3.6K]
The answer is 370.58
5 0
3 years ago
Read 2 more answers
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