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rodikova [14]
3 years ago
15

What is b1 and r of geometrical sequence if b3 −b1 = 16 and b5 −b3 = 144.

Mathematics
1 answer:
Naily [24]3 years ago
7 0

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

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3 years ago
60 min is 20%of blank min
enot [183]

Answer:

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Step-by-step explanation:

Explanation:

No further explanation required really!


4 0
3 years ago
Which pair of functions are inverses of each other?
klio [65]

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<h3>What is a Function ?</h3>

A function is a mathematical statement which relates two variables , a dependent and an independent variable.

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The equation

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3 years ago
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posledela

Answer: C. The temperature decreased by 6 degrees.

Step-by-step explanation:

From the question, we are informed that over a period of 4 hours, the outside temperature changed by an average of –1.5 per hour. The change over the 4 hours period will be:

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The shows that the temperature decreased by 6 degrees.

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2 years ago
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