The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer:
8
Step-by-step explanation:
16 divided by 8 equals 2 then 24 divided by 8 equals 3 Answer: 8
Use the Pythagorean theorem, tan is y/x so y = -3 and x= -2. Because cos is negative and R is always positive. You need to find R- which is the hypotenuse;
3^2 + 2^2 = r^2
9 + 4 = r^2
13 = r^2
√13 = r.
So you already have tan<span>θ,
cot</span><span>θ= 2/3
sin</span>θ= -3/√13 BUT
you have to rationalize, so you get -3 √13/ 13
cscθ= √13/ -3
cosθ= -2/ √13 BUT
you have to rationalize, so you get -2√13/ 13
secθ= √13/ -2
Answer:
3.2
Step-by-step explanation:
1/5=0.2
3 + 0.2 = 3.2
Order them from smallest to largest:
21, 24, 25, 26, 26, 31
mean: 25.5
add all the numbers up and divide them by 6.
median: 25.5
the number in between 25 & 26.
mode: 26
there are two 26’s in the pattern.
range: 21-31
