Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
Answer:
b is 15.
Step-by-step explanation:
Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.
<h2>
The required "option B) 
" is correct.</h2>
Step-by-step explanation:
You can refer figure:
brainly.com/question/4386376
To find, the value of x = ?
We know that,
Consecutive angles are supplementary
The diagonals bisect the angles.
Divided by 2 both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 4x = 
⇒ 
⇒ 
∴ The value of x =
Thus, the required "option B) " is correct.
Answer:
w < 82/5
Step-by-step explanation:
5w + 8 < 90
5w < 82
w < 82/5
