Answer:Yes
Step-by-step explanation:
Answer:
1) not diverges
2)not diverges
3) diverges
4)not diverges
Step-by-step explanation:
In geometric series, If the |r|<1 then the series is convergent and if |r|>1 then the series is divergent
Where r is the ratio between the consecutive terms of series.
1) 3/5 + 3/10 +3/20 + 3/40 ......
in the above geometric series
r= (3/10) / (3/5)
= 1/2
= 0.5
As |r|= 0.5 < 1, so the series will not diverge
2) -10+4-8/5 + 16/25 -......
in the above geometric series
r= (4) / (-10)
= -2/5
= -0.4
As |r|= 0.4 < 1, so the series will not diverge
3) ∑ 2/3(-4)^(n-1)
in the above geometric series
r= -4
As |r|= |-4| = 4 > 1, so the series will diverge
4) ∑ (-12)(1/5)^(n-1)
in the above geometric series
r=1/5
= 0.2
As |r|= 0.2 < 1, so the series will not diverge !
Answer:
x=75
Step-by-step explanation:
35+45+x=2x+5
80+x=2x+5
80-5=2x-x
75=x
I hope I was of help and plz mark this answer as brainliest
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Answer: Vector travelling 4 units to the left and 1 unit up, facing northwest.
Step-by-step explanation:
The original shape is ABC, while the translated shape is A'B'C'.
The translation is 4 units to the left and 1 unit up.
The correct vector will display as a vector travelling 4 units across and 1 unit down, facing northwest.
The first attached image travels 4 units across and 1 unit down, and faces the correct direction (northwest).
The second attached image travels 4 units across and 1 unit down, but it faces the wrong direction (southeast).
The third image travels 1 unit across and 2 units down. This is incorrect.
The fourth image travels 1 unit across and 2 units down. This is incorrect.
The correct answer is the first attached image (linked in comments)
