Answer:
B. 199
Step-by-step explanation:
We are given an Arithmetic sequence : 3, 7, 11, 15, ...
We are supposed to find the 50th term .
So, first consider the formula of nth term in Arithmetic mean:

where
a is first term of sequence
n is term position
d is common difference
= the term you are supposed to find
Now,
a = 3 ( first term )
n = 50 th term ( given )
d = 7-3 = 11-7 = 4(common difference
Substitute these value in the formula given above
⇒
⇒
⇒
⇒
Hence ,The 50th term of given arithmetic sequence is 199
So, OPTION B is correct .
Answer:
Option D (-4,7)
Step-by-step explanation:
we have
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4
<u><em>The question is</em></u>
Find out the coordinates of U'
Part a) Reflection: in the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
so
U(-1,0) -----> U'(1,0)
Part b) Translation (x,y) —> (x-5,y+7)
That means ---> the translation is 5 units at left and 7 units up
so
U'(1,0) -----> U''(1-5,0+7)
U'(1,0) -----> U''(-4,7)
therefore
Option D (-4,7)
Answer: Hope this helps you