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
defon
2 years ago
15

The fourth term of a geometric series is 10 and the seventh term of the series is 80. Find the sum to 10 terms of the series.

Mathematics
1 answer:
erica [24]2 years ago
5 0

The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

<h3>How to find sum of terms in geometric series?</h3>

aₙ = arⁿ⁻¹

where

  • a = first term
  • r = common ratio
  • n = number of terms

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

learn more on geometric series here: brainly.com/question/13592208

You might be interested in
HELPP YALL! I WILL MARK BRAINIEST!! LOOK AT THE PICTURE!!
Vinvika [58]
JAJDJAJDJS ksjdkwkr kwjd
3 0
3 years ago
Read 2 more answers
Several students tested plant growth for given conditions. Which student’s data is most representative of average plant growth f
Roman55 [17]
Brenden. the more plants you test the easier it is to find the average instead of a smaller amount. hope this helped!
3 0
3 years ago
Read 2 more answers
Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels,
lord [1]
Let N be no. of nickles. Then N($.05)+3N($.10)+2N($.25)=$3.40.

Or

4 nickels = $0.20
12 dimes = $1.20
8 Quarters = $2.00

Total = $3.40

6 0
3 years ago
Cual es el resultado de truncar a milésimos (3 decimales) 2/7 cuando lo convertimos a número decimal
Whitepunk [10]

The value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Rational numbers are numbers written as the ratio of two integers. For example, the fraction 2/7 given is a rational number.

Expressing 2/7 as a decimal number will give;

2/7 = 0.2857142... (It gave repeated decimal values)

Truncating the repeating decimal to the nearest thousandth means writing the decimal to 3 decimal places

0.2857142 = 0.286 (to the nearest thousandth)

Hence the value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Learn more here: brainly.com/question/24643812

4 0
3 years ago
Read 2 more answers
Please help I am terrible at algebra
Marina CMI [18]

Answer:

y = (x-0)^2 + (-5)  ⇒ y = x^2 - 5

Step-by-step explanation:

The general vertex form of the parabola  y = a(x - h)² + k

Where (h,k) is the coordinates of the vertex.

As shown at the graph the vertex of the parabola is the point (0, -5)

So,

y = a(x-0) + (-5)

y = ax^2 - 5

To find substitute with another point from the graph like (1,-4)

So, at x = 1 ⇒ y = -4

-4 = a * 1^2 - 5

a = -4 + 5 = 1

<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>

6 0
3 years ago
Other questions:
  • -2(4-3x)-6x=10 whats the value of x
    5·1 answer
  • Write an inequality for each situation <br> There are at least 24 pictures on the roll of film.
    14·2 answers
  • Can someone help me with this one
    11·2 answers
  • A function is a relationship between two quantities, called the ___ and the ___?
    12·1 answer
  • 8 divided by 618 ..............
    8·2 answers
  • WILL GIVE BRAINLIEST, ANSWER ONE OR BOTH I DONT CARE JUST PLSSS HELP
    15·1 answer
  • Find the measurement of angle ABC
    13·1 answer
  • Ashley will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $44 and costs an a
    8·1 answer
  • Giving brainliest to who will help!
    9·2 answers
  • A bar of soap with dimensions 2 x 4 x 0.5 inches is sold for $3 individually. A three-pack of the same soap costs $8. How much d
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!