Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
Answer:
13=x
Step-by-step explanation:
Side-spliting theorem
21/(x-4)=14/6
cross multiply
21*6=14*(x-4)
distribute 14
126=14x-56
add 56 to both sides
126+56=14x-56+56
leaving you with
182=14x
Divide both sides by 14 to get x by itself
182/14=14x/14
13=x
21^2/0.219 = 2013.69863
2 significant figures are the 20, so the answer is 2000
