Answer : option d
4.4, 5.8, 7.2, 8.6, 10, …
First we find the common difference between two terms
5.8 - 4.4 = 1.4
7.2 - 5.8 = 1.4
8.6 - 7.2 = 1.4
10 - 8.6 = 1.4
So common difference is 1.4
To find recursive rule, we add the difference with previous term
Recursive rule is 
a1 is the first term so a1= 4.4
d is the difference = 1.4
So recursive rule is
, where a1 = 4.4
Their sum can be greater than two. There is nothing that states that they couldn't be. All it states it that the two factions sums are less than 1. I hoped this helps
Answer:
(√366 - 3)/24
Step-by-step explanation:
Given the following:
cos∝ = √3/8 and sinβ = √3/3
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Get sin∝
Since cos∝ = √3/8
adj = √3
hyp = 8
opp = √8² - (√3)²
opp = √64 - 3
opp = √61
Recall that sin∝ = opp/hyp
sin∝ = √61/8
Get cosβ
Since sinβ = √3/3
opp = √3
hyp = 3
adj =√3² - (√3)²
adj = √9-3
adj = √6
Recall that cosβ = adj/hyp
cosβ = √6/3
Substitute the gotten values into the formula
Sin(∝-β) = sin∝cosβ - cos∝sinβ
Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)
Sin(∝-β) = √366/24 - √9/24
Sin(∝-β) = (√366 - 3)/24