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julsineya [31]
3 years ago
6

Please do question 4 and 5 only. I will mark brainliest to well explained answers.

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
4) D
5) 19d

hope this helps!
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What is b1 and r of geometrical sequence if b3 −b1 = 16 and b5 −b3 = 144.
Naily [24]

Answer:

b1 = 2 ; r = 3

Step-by-step explanation:

Given that :

if b3 −b1 = 16 and b5 −b3 = 144.

For a geometric series :

Ist term = a

Second term = ar

3rd term = ar^2

4th term = ar^3

5th term = ar^4 ;...

If b3 - b1 = 16;

ar^2 - a = 16

a(r^2 - 1) = 16 - - - (1)

b5 - b3 = 144

ar^4 - ar^2 = 144

ar^2(r^2 - 1) = 144 - - - - (2)

Divide (1) by (2)

a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144

a / ar^2 = 1 / 9

ar^2 = 9a

Substitute for a in ar^2 - a = 16

9a - a = 16

8a = 16

a = 2

From ar^2 - a = 16

2r^2 - 2 = 16

2r^2 = 16 + 2

2r^2 = 18

r^2 = 18 / 2

r^2 = 9

r = √9

r = 3

Hence ;

a = b1 = 2 ; r = 3

7 0
3 years ago
C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE
emmasim [6.3K]

Answer: d is correct

Step-by-step explanation:

7 0
3 years ago
Segment BC is a midsegment of triangle TUV. What is the length of segment VC? (A)a (B)2b (C)b (D)c
Ganezh [65]
It would be twice whatever the midsegment equals.
7 0
3 years ago
If the probability of an outcome is 2/9, what are the odds against that outcome?
IrinaVladis [17]

Answer:

7/9

Step-by-step explanation:

If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.

1 - 2/9

= 7/9

So, the odds against that outcome are 7/9

7 0
3 years ago
The sum of angles 1 and 2 is degrees. If the measure of angle 1 is 125 degrees, what is the measure of angle 2?
Vlad [161]

Answer:

angle 2 is 55

Step-by-step explanation:

supposing angle 1 and 2 are supplementary angle

since angle 1 is 125

180-125=55

therefore angle 2 is 55

8 0
3 years ago
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