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
Snezhnost [94]
3 years ago
6

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:
tatiyna3 years ago
6 0
In Geometric Progression, we know S(n) = a.(rⁿ - 1 ) / r - 1
Here, a = 3, r = 4 a(n) = 1,023
1023 = 3 (4ⁿ - 1) / (4 - 1)
3(4ⁿ - 1) = 1023 * 3
4ⁿ - 1 = 3069 / 3
4ⁿ = 1023 + 1
4ⁿ = 1024
4⁵ = 1024

In short, Your Answer would be 5 Terms

Hope this helps!



You might be interested in
What are transformations?
Nuetrik [128]

Answer:

a transformation happen when the shape changes. There are four transformations

translation

rotation

reflection

dilation

translation, rotation and reflection do not change the shape or the size of the shape and are known as rigid motions

3 0
3 years ago
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
Marizza181 [45]

Answer:

75 minutes

Step-by-step explanation: 750 divided by 10 is 75

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=7%20-%204%20%5Cfrac%7B3%7D%7B4%7D%20" id="TexFormula1" title="7 - 4 \frac{3}{4} " alt="7 - 4 \
AlladinOne [14]

7 - 4 3/4

= 28/4 - 19/4 = 9/4

Answer is 2 1/4 or 2.25.

5 0
3 years ago
Tomas is paid $200 for 5 days of work. How much is he paid per day?
mars1129 [50]
Final answer: $40
$200/5
7 0
2 years ago
Read 2 more answers
What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400. *work needed*
pickupchik [31]
<h3>Answer: x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

Step-by-step explanation:

Given the polynomial equation x^4-41x^2=-400.

Adding 400 on both sides to get rid 400 from right side and set 0 on right side, we get

x^4-41x^2+400=-400+400.

x^4-41x^2+400=0.

Factoring by product sum rule.

We need product of 400 and sum upto -41.

We can see that 400 = -25 × -16 = 400 and -25-16 = -41.

Therefore,

x^4-25x^2-16x^2+400=0

Making it into two groups, we get

(x^4-25x^2)+(-16x^2+400)=0

Factoring out GCF of each group, we get

x^2(x^2-25)-16(x^2-25)=0

(x^2-25)(x^2-16) =0

Factoring out  (x^2-25) and (x^2-16) separately by difference of the squares identity a^2-b^2=(a-b)(a+b), we get

(x^2-25) = x^2-5^2= (x-5)(x+5) and

x^2-16 = x^2-4^2 =(x-4)(x+4).

Therefore,

(x-5)(x+5)(x-4)(x+4) =0

Applying zero product rule,

x-5=0

x+5=0

x-4=0 and

x+4=0.

Therefore,

<h3>x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>
6 0
3 years ago
Other questions:
  • What is the completely factored out form of d^4-8d^2+16
    12·1 answer
  • How many arrangements of the letters in the word TRANCE are there if the vowels must always be together?
    11·1 answer
  • What is the steepness of this line?
    7·1 answer
  • Please help with this arc equation.
    14·1 answer
  • 2x + 1 ≤ 7 and -2x + 1 ≤ 9
    8·1 answer
  • A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1
    7·2 answers
  • Use the information given in the diagram to prove that m∠JGI = One-half(b – a), where a and b represent the degree measures of a
    12·2 answers
  • What is the effective interest rate on an account that earns 5.5% compounded monthly?
    5·1 answer
  • I will give you brainliest if you solve it
    15·2 answers
  • Help me with this pls
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!