Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:



Answer: a<13
Step-by-step explanation:
a*(a+1)<a^2+13
a^2+a<a^2+13
subtract a^2 from both sides:
a<13
First, we have two multiply two fractions (7/16 x 4/3) which we do top x top and bottom x bottom which gives us 28/48
Second, we do 28/48 x 1/2 which is 28/96.
Lastly, we simplify 28/96 which gives us 7/24
Answer:
D
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A =
← s is length of a side
Here s = 12, thus
A = 
= 
= 36
→ D