<u>Answer:</u>
-348
<u>Step-by-step explanation:</u>
We are given the following arithmetic sequence and we are to find the sum of its first 12 terms:
1, -4, -9, -14, . . .
For that, we will use the formula for the sum of the arithmetic mean:
We know the value of the first term (
) but we need to find the value of 
. So we will use the following formula:
Substituting these values in the sum formula to get:
-348
Answer: (4, 3)
Step-by-step explanation:
The formula for coordinate of the mid point is given as :
Mid point = (
, 
)
= 9
= -1
= 9
= -3
Substituting the values into the formula , we have :
Mid-point = (
, 
)
Mid-point = ( 
, 
)
Mid - point = ( 4 , 3)
The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
7.4 rounded to the nearest tenth is 7
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