Answer:
D.
Step-by-step explanation:
The formula is Sum(n) = (n -2) 180.
4x3x = 12x
4x2 = 8
So 12x+8-2
The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
Learn more about geometric series on:
brainly.com/question/24643676
#SPJ4
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
66.) .... 1/6 > 1/5 > 1/4 > 1/3 > 1/2
Answer:
<u>3</u><u>5</u><u> </u><u>diagonals</u><u> </u><u>in </u><u>decagon</u>