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
sammy [17]
3 years ago
15

What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



You might be interested in
2. Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how
kenny6666 [7]

Answer:

1: 195 divide by 3=65m/h

2: 455divide by 65=7hours

The remainder of Frank's trip is __7_____ hours.

8 0
3 years ago
a restaurant sold eight times as many salads as they sold steaks.if they sold four steaks, how many salads did they sell in all
garri49 [273]
They sold 32 salads.
3 0
3 years ago
Read 2 more answers
2(3x – 4)= -2(x - 2
vesna_86 [32]

Answer:

2(3x-4)=-2(x-2)

6x-8=-2x+4

6x+2x=4+8

8x=12

x=12/8

x=3/2 or x=1.5

8 0
3 years ago
Read 2 more answers
The formula v= u + at can be used to calculate<br><br> Rearrange the formula to make u the subject.
timama [110]

Answer:

u = v - at

Step-by-step explanation:

v = u + at

v - at = u + at - at

v - at = u

u = v - at

3 0
3 years ago
If Rosa buys 2 drinks for 4.78 how much would she pay if she bought 4 drinks.​
kicyunya [14]

Answer:

9.56

Step-by-step explanation:

4.78x2 so then your answer would be 9.56

7 0
3 years ago
Other questions:
  • A. 26<br><br><br> B. 36<br><br><br> C. 144<br><br><br> D. 85
    5·2 answers
  • Which of the following represents x =1/2 y written in general form?
    9·2 answers
  • Which equation show you how to find 16-9?
    11·1 answer
  • At the beginning of the season, a golf coach buys 118 sleeves of golf balls. Each sleeve costs $8.
    11·1 answer
  • The area of a rectangle is represented by the polynomial 16x2  56x . The width of the rectangle is given by thebinomial 2x7. (
    15·1 answer
  • 13=2f+5 f=two step equation
    14·1 answer
  • A) Round 98984 to 1 significant figure.
    13·1 answer
  • Help- pleasee brainilist - -3/7 divided by 1/2
    15·2 answers
  • HELP ME PLS NOW I NEED YOU PPLS BRAINS
    14·2 answers
  • Help fast pls!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!