Answer:
a7=4/3 or a7=-4/3
Step-by-step explanation:
using the geometric sequences formula
an=ar^n-1
a2=ar
a4=ar³
when a2=324 and a4=36
324=ar...........(1)
36=ar³............(2)
from equation (1) a=324/r substitute in equation (2)
we have :
36=324/r *r³
36=324r²
r²=36/324
r²=1/9
r=±1/3
substitute when r=±1/3 in (1)
324=a(±1/3)
a=±972
so the 7th term is
when r=±1/3
we have
a7=ar^6
a7=±972(±1/3)^6
a7=972/729
a7=4/3 or a7=-4/3
Answer:
Answer is B
Step-by-step explanation:
In this question, we have to find the value of the y intercept and we have a table given .
First let's see what is y intercept.
y intercept is the value of y when x=0.
And in the given table , we have to check for the y value whose x value is 0 .
And when x=0, y=-5. THerefore y intercept is -5. And the correct option is B.
If we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x
so if we take a certain portion of the graph
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
= 28
<u><em> He is 7 Kilometers southeast far from his point</em></u>
