Answer:
0.318
Step-by-step explanation:
on division with 10, the value reduces.... decimal moves forward
on multiplication, the value increases decimal moves backward....
eg: 3.18 x 10 = 31.8
B -13 -34i
(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)
Then keep simplifying
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
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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
Answer:
B and D
Step-by-step explanation:
Equations with the same x- term on both sides will have no solution
A
4x - 13 = 5(x + 4) = 5x + 20
4x ≠ 5x
This equation has a solution
B
5(3 + 2x) = 10x + 4
15 + 10x = 10x + 4
10x on both sides ⇒ no solution
C
2(3 - 5x) = 8(x + 1)
6 - 10x = 8x + 8
- 10x ≠ 8x
This equation has a solution
D
9x - 6 = 3(3x - 2) = 9x - 6
9x on both sides ⇒ no solution
