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
Aleksandr-060686 [28]
4 years ago
9

How many terms are in the following sequence?

Mathematics
1 answer:
Lilit [14]4 years ago
4 0

Answer:

18.

Step-by-step explanation:

It is a geometric sequence.

The common ration is 1/3.

The nth term of a GS is a1 r(n-1)

The first term of this GS is 645700815.

Substituting to see which term is 5:

Try 16:

16th term  = 645700815 * (1/3)^(16-1)

=  45

18th term =  645700815 * (1/3)^(18-1)

= 5.

So there are 18 terms.

You might be interested in
Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statemen
avanturin [10]

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression (4.296*10^{11})(1.8614*10^{-14}), to expand the expression we will apply some of the law of indices below. If a, b and m are integers

a^m*a^n = a^{a+m}

= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\  power\ of\ the \ exponents\\\\=  7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\

= 0.0079965744

<em>Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.</em>

4 0
3 years ago
Read 2 more answers
Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the
iren2701 [21]

Answer: 29 feet.

Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.

91 = 3.14 x d

In order to solve for d you need to divide both sides for 3.14:

D = 28.98, rounded to the nearest foot is 29 feet.

5 0
3 years ago
Quadrilaterals are similar if their corresponding sides are proportional. true or false
lara [203]

Answer:

The given statement is true.

Step-by-step explanation:

Quadrilaterals are similar if their corresponding sides are proportional.

This statement is true.

Quadrilaterals are similar when

a) corresponding angles are equal

b) the corresponding sides are proportional i,e the ratios of corresponding sides are equal

So, the given statement is true.

5 0
3 years ago
Read 2 more answers
An angle measures 16 degrees less than three times its supplement find the measure of the angle
Sedaia [141]
3x-16 is the expression used
3 0
3 years ago
At Westside Middle School, 10 percent, or 140 students, participate in soccer. How many students are in the school? Check all th
Aleonysh [2.5K]

Answer: There are 1,400 students in the school. Checked options are bolded.

Step-by-step explanation:

<em>How many students in the school?</em>

  • <em />\frac{1}{10} = \frac{140}{x}<em> </em>(10% of the school population is equal to 140 over unknown)
  • <em />x = 1,400<em> </em>(unknown equals 1,400)

<em>Check all that apply:</em>

  • The total number of students is greater than 140.
  • The total number of students is less than 140.
  • (10)(14) = 140, so 100(14) = 1,400 students.
  • 140 + 10 = 150, so 150 + 140 = 290 students.
  • There are 140 + 10 = 150 students at Westside Middle School.
  • The percent as a part to whole ratio is StartFraction 140 Over 100 EndFraction
  • The percent as a part to whole ratio is StartFraction 10 Over 100 EndFraction
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please show the working as well.
    13·1 answer
  • Steven goes to the grocery store and is looking at in Winter squash it has the mass of 1857 grams how many kilograms does the wi
    15·1 answer
  • What is the solution for the equation 2x - 3 = - 8
    10·2 answers
  • Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1 divided by 12 of
    9·1 answer
  • Which of the following options have the same value as 62% percent of 45? Choose 2 answers: Choose 2 answers:
    11·2 answers
  • In what order should a boolean retrieval system merge the related postings for best query efficiency?
    15·1 answer
  • Suppose unattached earlobes are a dominant trait. Phil and Maggie both have unattached earlobes but their daughter, Celia, does
    7·1 answer
  • Select all the factors of:<br>x^2+ 3x - 10<br>A) (x-5)<br>B) (x+2)<br>C) (x-2)<br>D) (x+5)​
    8·1 answer
  • There it is:) the full thing
    13·2 answers
  • What is the solution set for the inequality,
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!