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
inessss [21]
3 years ago
10

What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3?

Mathematics
1 answer:
ikadub [295]3 years ago
7 0
\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=1\\
r=3\\
n=7
\end{cases}
\\\\\\
a_7=1\cdot 3^{7-1}\implies a_7=1\cdot 3^6\implies a_7=1\cdot 729\implies a_7=729
You might be interested in
What is the product of 7.5 and 1,000?
Tatiana [17]
The correct answer is 7,500.
8 0
3 years ago
Read 2 more answers
What is 10/16 times 1/15
erica [24]
1/24
Hope this helps!
6 0
2 years ago
Read 2 more answers
If the cost of a pound of nails increased from $2.29 to $2.48. what is the percent of the increase to the whole number percent?
masya89 [10]
100.8 percent

hope it helps
7 0
2 years ago
Read 2 more answers
Which expressions are equivalent to (2 Superscript 5 Baseline) Superscript negative 2? 2–10 and StartFraction 1 Over 20 EndFract
Serggg [28]

Answer:

\frac{1}{2^{10}} \ and\ \frac{1}{1024}

Step-by-step explanation:

Given

(2^{5})^{-2}

Required

Find the equivalent;

To find the equivalent of the given expression, we make use of laws of indices;

Using the following law of indices;

(a^m)^n = a^{m*n}

So;

(2^{5})^{-2} becomes

(2^{5})^{-2} = 2^{5*-2}

(2^{5})^{-2} = 2^{-10} ------------ This is one equivalent

Solving further;

Using the following law of indices;

a^{-m} = \frac{1}{a^m}

So;

(2^{5})^{-2} = 2^{-10} becomes

(2^{5})^{-2} = \frac{1}{2^{10}}

2^10 = 1024

Hence;

(2^{5})^{-2} = \frac{1}{1024}

Conclusively; the equivalents of (2^{5})^{-2} are \frac{1}{2^{10}} \ and\ \frac{1}{1024}

4 0
3 years ago
Which of the following best describes the change in the mean when 1213 is included in the data set below?
Kruka [31]

Answer:

Step-by-step explanation:

Given in the data set as

26, 34, 38, 49, 65, 76, 81

Sum = 369

No of entries = 7

Mean =52.71

When 1213 is included

New sum = 1582

No of entries =8

New mean = 197.75

Thus mean increases by 145.04

5 0
3 years ago
Other questions:
  • Which is greater or equal to 8/10 or 63/100
    14·1 answer
  • PLeaSe HeLp Multiply (1/3)(1/5) -1/10 -1/15 1/15 1/10
    10·2 answers
  • In which number is the value of the 7 ten times the value of the 7 in the number 1,273
    8·2 answers
  • What is 1,622 rounded to the nearest thousand
    11·1 answer
  • Ten times the square of a non zero number is equal to sixty time the number. What is the number?
    13·2 answers
  • The following equation is being multiplied by the LCD. Complete the multiplication to eliminate the denominators
    15·2 answers
  • Solve. Round to the nearest tenth.<br> 6<br> 2-12<br> 19<br> 2x-2<br> HELP ASAP!!
    14·2 answers
  • What is 1/4(8+x+4) simplified using the distributive property
    6·2 answers
  • Tell whether the data in the table can be modeled by a linear equation. Explain.
    6·1 answer
  • Jacob is mixing salt with
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!