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
navik [9.2K]
3 years ago
14

How many terms are there in a geometric series if the first term is 3, the common ratio is 4 and the sum of the series is 1,023

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r) in our case:

s(n)=3(1-4^n)/(1-4)

s(n)=-(1-4^n)

s(n)=(4^n)-1  and s=1023

(4^n)-1=1023

4^n=1024

n ln4=ln1024

n=(ln1024)/(ln4)

n=5
You might be interested in
What are the x and y intercepts of the line??<br><br> 5x-2y=-20
uysha [10]
X=(-4,0)
y=(0,9)
hope this helps

8 0
3 years ago
Read 2 more answers
(-3; -3) and (8-3). What is the slope​
pentagon [3]

Answer:

Step-by-step explanation:

(-3,-3) ; (8,-3)

Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-[-3]}{8-[-3]}\\\\=\frac{-3+3}{8+3}\\\\=0

Slope = 0. so, the line is parallel to x-axis

6 0
3 years ago
3 2/3 minus 1 12/15 <br> Mixed Number Addition and Subtraction
Alenkinab [10]

Answer:

??

Step-by-step explanation:

6 0
2 years ago
A number y minus 12 is no more than −32.<br><br> The inequality is
Artyom0805 [142]

Answer:

y-12<-32

Step-by-step explanation:

just remember to underline the less than sign

3 0
2 years ago
Homework Progress 23 / 39 Marks Work out 83 +52​
antoniya [11.8K]

Answer:

2 1/25  or 2.04

Step-by-step explanation:

8 ^ 1/3 + 5 ^ (-2)

Rewriting

(2^3) ^ 1/3 + 1/5 ^2

2 + 1/25

2 1/25

2.04

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}?
    5·1 answer
  • Which coin will touch the bottom first?25°c and 25°f​
    5·1 answer
  • A sequence of numbers begins with 12 and progresses
    13·2 answers
  • What is 6% of $95 ?<br> Please help fast!!
    11·2 answers
  • 1/5(2x-15)=1/10(4x-30)
    11·1 answer
  • Identify any zeros of y=x^2+4x+5.
    14·1 answer
  • Helpppppp which of the following features of the online textbook will allow you to receive extra instruction on a topic?
    7·2 answers
  • Alec paid the bill for dinner with his clients which totaled $140 before tax and tip. If an 8 percent sales tax was added to the
    13·1 answer
  • Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
    8·1 answer
  • Solve (5√16)^1 using prime factorisation.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!