The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
Option A
Step-by-step explanation:
Jordan is 27 miles short of his biking goal.
This statement states that Jordan is 27 miles behind the goal.
Hayden went 27 miles over his goal.
This statement states that Hayden is 27 miles ahead of his goal.
Option A
Both are 27 miles away from their goal.
True.
Option B
Since, both were 27 miles away from their goal,
Statement is False.
Option C
Since, the goal was same both,
Given statement is False.
Option D
Goal was same for both Jordan and Hayden,
Statement is False.
Answer=10
When rounding to the nearest whole number, we need to look to the number in the tenths place
10.09
If the number is 5 or greater, we round up. If the number is 4 or less, we round down.
The number is 0, so we would round down.
10.09 becomes 10
Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
