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
KengaRu [80]
3 years ago
12

What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

It's a geometric sequence.

The formula of a general term of a geometric sequence:

a_n=a_1r^{n-1}

Substitute

a_1=5,\ r=3,\ n=5

a_5=5(3^{5-1})=5(3^4)=5(81)=405

<h3>Answer: The fifth term is equal 405.</h3>
You might be interested in
Triangle ABC has been dilated to form triangle A'B'C'. If sides AB and A'B' are proportional, what is the least amount of additi
Ede4ka [16]
When considering similar triangles, we need congruent angles and proportional sides.

Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.

"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.

"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).

"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.

To conclude, the first option is sufficient to prove similarity (AAA)

3 0
4 years ago
Read 2 more answers
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara wri
Sidana [21]

Answer:

im taking it on edgenunity

Step-by-step explanation:

so what u do is pick the first 3 then last one

7 0
3 years ago
Read 2 more answers
The population of a city has decreased by 27% since it was last measured. If the current population is 7300, what was the previo
Tema [17]

Answer:

the answer is 9271

Step-by-step explanation:

if 7300 is 73%, then you need to add 27% to get 100% which is 9271

7 0
2 years ago
9+2×42+6-2<br><br>Please show the work​
timofeeve [1]

Answer:

The answer is 97

Step-by-step explanation:

According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.

8 0
2 years ago
Read 2 more answers
Which graph represents y=1/2x+2 <br><br> please help!!
wel

Answer:

B

Step-by-step explanation:

Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.

The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.

8 0
3 years ago
Other questions:
  • the area of one circle is 9 times as great as the area of another. If the radius of smaller circle is 3, find the radius of larg
    12·1 answer
  • write an algebraic expression for the following problem next weekend a student wants to study for his four classes if he has h h
    10·1 answer
  • A regular hexagon has an area of 750.8 cm 2. The side length is 17 cm. Find the apothem.
    15·1 answer
  • _% of 50 shirts is 35 shirts
    13·2 answers
  • You can buy 5 cans of green beans at the village market for $2.30, or you can buy 10 of them at Best Food for $5.10. Which place
    11·2 answers
  • What’s the combined average of Altuve’s weighted average below:
    8·1 answer
  • Solve for the value of x.
    10·1 answer
  • What is the solution of the equation x + 12.23 = 28.659?<br> X =
    5·1 answer
  • 6^9+6^8)/(6^8*6^-9)<br>HELP PLS​
    13·2 answers
  • What is the area of this shape?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!