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SSSSS [86.1K]
3 years ago
13

Find the sum of the first 9 terms of the geometric series: 3 + 21 + 147 + …

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

  20,176,803

Step-by-step explanation:

This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

For a1=3, n=9, and r=7, the sum is ...

  S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803

The sum of the first 9 terms is 20,176,803.

_____

The first 9 terms are ...

  3 +21 +147 +1029 +7203 +

  50,421 +352,947 +2,470,629 +17,294,403

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Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?
otez555 [7]

Answer:

87.5

Step-by-step explanation:

-2

8 0
3 years ago
2+266666662724683745946198753278313=
LUCKY_DIMON [66]

Answer:

2.6666666e+32

Step-by-step explanation:

1.add

2.multiply

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6 0
3 years ago
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
GarryVolchara [31]

Answer:

B

Step-by-step explanation:

Angle 4 × Angle 3 = 90

Complementary angles

11x + 4x = 90

15x = 90

x = 6

Angle 3 = 4x = 4(6) = 24°

5 0
3 years ago
Read 2 more answers
Help me plz<br> thank u!
viktelen [127]

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

6 0
3 years ago
I need to 2,4,6,8 <br> But please send me the work too
Ugo [173]

ok for number 2.)   2+8+1+5+1+3+1+7+5+4+3+1=41 and 41 divided by the number of number which is 12= 3.41666666667

the mean for number 2 is 3.41666666667.

for the median you put the number from least to greatest, like so:

1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 7, 8.

The middle is 3 and 3 so 3+3 divided by 2 is 6 so the median is 6.

I cant do mode but range is 8-1 divided by 2

4 0
3 years ago
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