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andreev551 [17]
2 years ago
5

Write a recursive rule for the sequence. Assume it starts with the 1st term. 10, 14, 18, 21...

Mathematics
1 answer:
Papessa [141]2 years ago
3 0

Option D is correct. The correct option for the recursive formula is f(0) =6;f(n)=f(n - 1)+4

Given the sequence 10, 14, 18...

The first term is 10, hence

a1 = 10

The previous terms will be a_{n-1}

From the sequence, we can see that <em>4 is being added to the previous term to get the next term</em>. Hence the nth term will be expressed as:

a_n = a_{n-1} + 4

Get the term before the first term a_0

If n = 1

a_1 = a_{1-1} + 4\\a_1 = a_{0} + 4\\a_0=a_1-4\\a_0=10-4\\a_0=6

Hence the correct option for the recursive formula is f(0) =6;f(n)=f(n - 1)+4

Learn more here: brainly.com/question/18233843

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The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?
erik [133]

Answer: The original price was $6,400

Step-by-step explanation: To find the original price, divide the sale price by 1 minus the discount rate:  4160 / (1- 0.35) =  4160 / 0.65 = 6400

mark brainliest?? plz :)

3 0
3 years ago
If the 102,619 residents of a city are divided into 57 equal groups, then some residents don't fit into a group.
valentinak56 [21]

Answer:

1,800, 19

Step-by-step explanation:

102,619÷57=1800 (nearest one)

102,619-1800×57=19

3 0
2 years ago
On field day, Breanna long jumped 62 inches, Myquisha jumped 5 feet 4 inches, and Ariana jumped 1 yard, 2 feet, 7 inches. Which
ella [17]
Let’s convert all their jumps into inches.

Breanna’s is already in inches (62)

Myquisha jumped 5 feet 4 inches
There are 12 inches in a foot, so

5 feet * 12 inches= 60 inches

Then add the 4 inches
60+4= 64
So Myquisha jumped 64 inches.


Ariana jumped 1 yard, 2 feet, 7 inches

1 yard is equal to 3 feet.

So, she jumped 5 feet 7 inches

12 inches in a foot, so
5*12=60 inches

Add the 7
60+7= 67 inches

So Breanna jumped 62, Myquisha 64 and Ariana 67

In order of shortest to longest:

Breanna, Myquisha, Ariana
3 0
3 years ago
Read 2 more answers
4) A 60 kg astronaut pushes against a 120 kg satellite with a force of 15 N. How much force does the satellite exert on the astr
Mkey [24]

Answer:

30n

Step-by-step explanation:

7 0
3 years ago
_______ the problem by formulating assumptions and recognise certain variables and their relations
patriot [66]

Answer:

Research Hypothesis solves the problem by .....

Step-by-step explanation:

Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships

The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.

  • Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
  • Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable

Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement

Y = b0 + b1X ; where

Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y  

  • H0 : b1 = 0 {No significant relationship between X & Y}
  • H1 : b1 ≠ 0 {Significant relationship between X & Y}

This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null  or alternate hypothesis gives the final research conclusion & interpretation

7 0
3 years ago
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