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Vikki [24]
3 years ago
5

Find a formula for the sequence 3, 9/4, 27/7, 81/10,... in sigma notation​

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

9514 1404 393

Answer:

  \displaystyle S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}

Step-by-step explanation:

The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.

  numerator: 3^x

  denominator: 1 +3(n -1) = 3n-2

Then the sum of n terms of the sequence can be described by ...

  \displaystyle \boxed{S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}}

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What is the y-value when x equals -12.
Gala2k [10]

Answer:

-128 it’s on the table

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I have 2 thousands,12 tens,5 hundred and 9 one
12345 [234]

Answer:

2 120 500 9. so 2,629 would be the answer

7 0
3 years ago
Please help me guys ​
wariber [46]

Step-by-step explanation:

midpoint : it is the point in the middle marking half of the total distance.

therefore,

1)

EV = LE = LV/2

10 = 5m

m = 2

2)

LR = RO = LO/2

n + 4 = 12

n = 8

3)

LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.

we know e.g. LE/LV = 1/2.

the same ratio applies then to ER/VO = 1/2 = 18/20p.

18/20p = 1/2

18 = 20p/2

2×18 = 20p

36 = 20p

p = 36/20 = 9/5 = 1.88888888888...

4)

VL = 2×EL = 2×10 = 20

5)

LO = 2×RO = 2×12 = 24

6)

as we have already calculated for 3) :

VO = 36

7)

36 + 20 + 24 = 80

8)

10 + 12 + 18 = 40

9)

remember, the and angles in similar triangles.

LVO = 52°

10)

all angles around a single point in one side of a line are together 180°.

in this case there are 2 angles around E : LER and VER.

VER = 180 - LER = 180 - 52 = 128°

4 0
2 years ago
Read 2 more answers
4 mi = ft. help fast please
Afina-wow [57]
5280 per mile ! 21120! Good luck!
4 0
3 years ago
Read 2 more answers
Pls help i will give brainliest
Dominik [7]
Well first of all the shorter pipe would be 160ft bc 120/3 is 40 and 40*4 is 160 so the shorter piece is 160ft and 160+12 is 172 so the longer piece of pipe would be 172ft

I’m pretty sure I’m correct, lemme know if I’m not
Hope this helps :)
6 0
3 years ago
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