The sum of the sequence is 750
<h3>How to determine the sum of the series?</h3>
The series is given as:
150, 120, 96, and 76.8,
Start by calculating the common ratio using:
r = T2/T1
This gives
r = 120/150
r = 0.8
The sum of the series is then calculated as:
This gives
Evaluate
S = 750
Hence, the sum of the sequence is 750
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I^2 = -1
i = √-1
Substitute the value of i in the equation:
(4+2i)(6-ki)=30
{4 + (2)(√-1)} {6 - k (√-1)} = 30
( 4 + 2√-1)(6 -k√-1) = 30
24 - 4k√-1 + 12√-1 -2k (-1) =30
24 - 4k√-1 + 12√-1 +2k =30
-4k√-1+12√-1 + 2k - 6 =0
-2√-1(2k -6) + (2k-6) =0
(-2√-1 +1)(2k-6)=0
2k -6 =0
2k = 6
k= 3
So, the value of k is 3.
Answer:
2 over 100 and 20 over 100
The equation of a circle is represented as :
where,
- "h" represents x - coordinate of the center of circle
- "k" represents y - coordinate of the center of circle
- " r " represents Radius of the given circle
So, from above equation we get:
Therefore, Radius of the given circle measures 6 units.
