Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
Answer:
46
Step-by-step explanation:
3 x 2^3 + 5^2 - 18/6
= 3 x 8 + 25 - 3
= 24 + 25 - 3
= 49 - 3
= 46
Answer:
Mean is 18
Step-by-step explanation:
We would set up the proportion as X/9=36/X so after we cross multiply we get x^2=324. Then we find the square root of both sides to simplify. ... And the square root of 324 is 18. So the final answer is x=18 or the geometric mean is 18
Answer:
In triangle SHD and triangle STD.
[Side]
Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.
⇒ 
[leg] [Given]
Reflexive property states that the value is equal to itself.
[Leg] [Reflexive property]
HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.
then, by HL theorem;
Proved!