The formula to find any term of an an arithmetic sequence is given by
=
=(n-1)d,
where we have first term
=8,
and d which is the common difference , and n is the term we need to find (in our case is 20)
the difference d=3, as you see each number is the previous minus 3
for S20=8+(20-1)*(-3)=8+(19)*(-3)=8-57=-49
S20=-49, this the 20th term
-2+(-7)
-2+-7
-2-7
-9
so the answer would be number line C.
Answer:
Step-by-step explanation:
is notation for the first derivative of .
Recall the product rule:
Therefore, we have:
Note that:
Simplify:
Answer:
Step-by-step explanation:
we are given a derivative
and said to figure out the first derivative
to do so
recall chain rule:
so we get
rewrite the derivative using the chain rule:
use square root derivative rule to simplify:
now we need to again use chain rule composite function derivative to simplify
where we'll take a new function n so we won't mess up two g's and we'll take 2x as n
use composite function derivative to simplify:
use derivative formula to simplify derivatives:
substitute the value of n:
substitute the value of g:
now we need our trigonometric skills to simplify
rewrite cot and csc:
simplify multiplication:
simplify multiplication: