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2 years ago

b(1)=−7 b(n)=b(n−1)+12 Find the 4th term in the sequence

Mathematics

2 answers:

forsale [732]2 years ago

8 0

4th term = 29

to generate the terms, substitute n = 2, 3, 4 into the rule

noting that b(1) = - 7

b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5

b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17

b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29

dezoksy [38]2 years ago

6 0

Answer: The 4th term in the sequence is 29 .

Step-by-step explanation:

The given recursive formula for the sequence :

$b(1)=-7\\\\ b(n)=b(n-1)+12$

To find : 4th term

At n=2 , we have

$b(2)=b(1)+12=-7+12=5$ (Second term)

At n=3 , we have

$b(3)=b(2)+12=5+12=17$ (Third term)

At n=4 , we have

$b(4)=b(3)+12=17+12=29$ (Fourth term)

Therefore , the 4th term in the sequence is 29 .

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Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2

puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

$f(x) = -5|x + 1| + 3$

Here f(x) = -12

Substitute f(x) and solve for x

$- 12 = -5|x + 1| + 3$

By subtracting 3 on both sides

$- 12 - 3 = -5|x + 1| + 3 - 3$

$- 15 = -5|x + 1|$

By dividing -5 on both sides

$3 = |x + 1|$

We get absolute values for the function.

$x + 1 = 3 , x + 1 = -3$

By subtracting 1 on both sides

$x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4$

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

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1 year ago

(9.4). 18 = 9.(4.18) A True B. False

sertanlavr [38]

Answer:

Step-by-step explanation:

answer is true

8 0

3 years ago

Will mark Brainliest!!!

KiRa [710]

Answer:

6 and 10

Step-by-step explanation:

Let a = the first number(3/5 of the second number namely b)

Let b = the number that is 5/3 of a

a=3/5 b

Assuming they are both positive integers, obviously you will have to add 4 to a.

4+a = b

4 + 3/5 b = b

2/5 b = 4

b = 10

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ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS

5 0

2 years ago

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Keven is buying a handbag priced at 220

marshall27 [118]

Keven paid a sales tax of $ 18.15 for handbag purchase

Solution:

Given that stores charge a 4.6% state sales tax and a 3.65% county sales tax

Keven is buying a handbag priced at 220 before tax

To find: Sales tax paid by Keven

Sales tax amount = state sales tax amount + country sales tax amount

Finding state sales tax amount:

stores charge a 4.6% state sales tax which means 4.6 % of $ 220

state sales tax amount = 4.6 % of 220

$\text{ state sales tax amount }= \frac{4.6}{100} \times 220$

$\text{ state sales tax amount }= 0.046 \times 220 = 10.12$

Thus state sales tax amount is $ 10.12

Finding country sales tax amount:

Store charges a 3.65% of country sales tax which means 3.65% of $ 220

Country sales tax = 3.65 % of 220

$\text{ Country sales tax } = \frac{3.65}{100} \times 220\\\\\text{ Country sales tax } = 0.0365 \times 220 = 8.03$

Thus country sales tax = $ 8.03

Now let us add both amount to get total tax paid by Keven

Sales tax amount = state sales tax amount + country sales tax amount

Sales tax amount = $ 10.12 + $ 8.03 = $ 18.15

Therefore Keven paid a sales tax of $ 18.15 for handbag purchase

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2 years ago

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Angelina_Jolie [31]

Answer:

Step-by-step explanation:

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2 years ago

​ b(1)=−7 b(n)=b(n−1)+12 ​ Find the 4th term in the sequence

b(1)=−7 b(n)=b(n−1)+12 Find the 4th term in the sequence