The sum of the first five terms of the geometric series 8, -24, 72..... is 488 ⇒ answer B
Step-by-step explanation:
In the geometric series:
- There is a constant ratio " r " between each two consecutive terms
- The nth term is , where a is the 1st term
- The sum of nth terms is
∵ 8 , -24 , 72 , ........ is a geometric series
∵
∵ = 8
∵ = -24
∴
∴ r = -3
∵ The sum of the nth terms is
- We need the sum of the first 5 terms, then n is 5
∵ n = 5 , a = 8 , r = -3
- Substitute these values in the rule of the sum
∴
∴
∴
∴
∴
The sum of the first five terms of the geometric series 8, -24, 72..... is 488
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Answer:
B. 29.7
Step-by-step explanation:
All you have to do is find the area of the half circle (r² × 3.14 × ½) and subtract that from the initial area of the rectangle ( 9×4 ) After doing that it gives you 29.7ft².
Answer:
6x-6-6-5x+2 = x - 10
Step-by-step explanation:
Simply each expression
6x-6-6-5x+2
= x - 10
Answer:
Undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]
5-7/3-3
-2/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
Answer:
Don't worry! This is not that hard! You got this! You can use this for checking :)
Plus we have to use x-y and use the numbers given for each question
15. x-y if x=6 and x=-3
6-(-3) negative plus negative equals positive
6+3= 9
16. x= -7 x=1
-7-1= -8
17. x=-2 y=-6
-2-(-6) negative plus negative equals positive
-2+6= 4
18. x=9 y=11
9-11= -2
19. x=-1 y=-1
-1-(-1)
-1+2= 1
20. x=-5 y=5
-5-5= -10
21. The high temp. is 6 and the low temp. is -3 It sasking for the differnece between the two.
6-(-3)
6+3=9
The difference between the high temp. and low temp. is 9 degrees Fahrenheit
22. This question is a little tricky but don't worry!
From -7 to 7. To reach -7 to 0, that is 7 degrees. To reach 7 from 0, that is also 7 degrees. So you add 7 and 7!
7+7= 14
The temperature increased 14 degrees Fahrenheit.
Hope this helps! Good luck on your quiz and I hope you pass :)