1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Graph the following Line:<br> 6x+3y=6
yulyashka [42]

Answer:

Visit geogebra.com

Step-by-step explanation:

none needed <3

8 0
2 years ago
Read 2 more answers
Is 9,156 divisible by 2,3,4,5,6,9,10
LekaFEV [45]

No, 9,156 divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327 , 436, 654 , 763, 1308, 1526, 2289, 3052, 4578, and 9156

8 0
2 years ago
I need help with this question.
ahrayia [7]

Answer:

59

Step-by-step explanation:

We know that all the angles must add up to 180

so we have

38+2b-20+b-15=180

solve for b

3b+3=180

3b=177

b=59

8 0
2 years ago
Read 2 more answers
A grading machine can grade 48 tests in 1 minute. How
S_A_V [24]
\bf \begin{array}{ccll}&#10;tests&minutes\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;48&1\\&#10;300&m&#10;\end{array}\implies \cfrac{48}{300}=\cfrac{1}{m}\implies m=\cfrac{300\cdot 1}{48}
3 0
3 years ago
Please help me with this
skelet666 [1.2K]
D) 8.17 x 10^8


910000000 - 93000000 = 817000000 

817000000 ---> 8.17 x 10^8
5 0
3 years ago
Other questions:
  • What characteristics make Ur an advanced city?
    5·1 answer
  • Convert 74.69 to expanded form
    9·1 answer
  • You have $900 in a checking account. You pay a $60 cell phone bill each month using this account.
    14·1 answer
  • Mary is 3 years older than Sarah.winifred is twice as old as Mary. Altogether thei ages total 89. How old is Sarah
    6·1 answer
  • Determine the prime factorization of 64.
    8·1 answer
  • One T-Shirt is sold for every 5 people who attend a concert what is one way to write the unit rate in words
    13·2 answers
  • Which function forms a geometric sequence when x = 1, 2, 3, . . . ?
    7·1 answer
  • Write 99 as a product of primes.<br> Use index notation when giving your answer.<br> Do
    14·1 answer
  • Help me do this please
    6·1 answer
  • Select all the functions include the point (8, 64).
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!