Option B:
The 12th term is 354294.
Solution:
Given data:
and
To find
The given sequence is a geometric sequence.
The general term of the geometric sequence is .
If we have 2 terms of a geometric sequence and (n > K),
then we can write the general term as .
Here we have and .
So, n = 7 and k = 4 ( 7 > 4)
This can be written as
Taking cube root on both sides of the equation, we get
r = 3
Hence the 12th term of the geometric sequence is 354294.
Answer:
C) (-3, -1)
Step-by-step explanation:
y = 5/3x + 4
When x = 0, y = 4
When y = 0, x = -2.4
graph the points: (0, 4) and (-2.4, 0)
y = -2/3x - 3
When x = 0, y = -3
When y = 0, x = -4.5
graph the points: (0, -3) and (-4.5, 0)
The lines will cross at point: (-3, -1)
<h3>
<u>Answer:</u></h3>
<h3>
<u>Step-by-step explanation:</u></h3>
A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
<u>And nth term of an Harmonic Progression is </u><u>:</u><u>-</u>
Hence here
- Common difference = 1
- First term = 1 .
Substituting the respective values,
<h3>
<u>Hence</u><u> </u><u>the</u><u> </u><u>nth</u><u> </u><u>term</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sequ</u><u>ence</u><u> is</u><u> given</u><u> by</u><u> </u><u>¹</u><u>/</u><u>n</u><u> </u><u>.</u><u> </u></h3>
Normally, I would say that PC (with the line over it) would mean point P to point C, but I do not see point P on the image. Is that the part you don't understand? There being no P?