All categories

3 years ago

In a geometric sequence, the__ between consecutive terms is constant

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

In a geometric sequence, the ratio between consecutive terms is constant.

Step-by-step explanation:

A geometric sequence is where you get from one term to another by multiplying by the same value. This value is known as the constant ratio, or common ratio. An example of a geometric sequence and it's constant ratio would be the sequence 4, 16, 64, 256, . . ., in which you find the next term by multiplying the previous term by four. 4 × 4 = 16, 16 × 4 = 64, and so on. So, in this sequence the constant ratio would be four.

You might be interested in

In a given year, residents of a country spent approximately $54.6 billion on their pets. Of this amount, $17.1 billion was f

UNO [17]

The 31.31% of the $54.6 Billion was spent.

for the percentage solution

x%=(amount spent on veterinary/ total amount) *100

Calculation:

let "x" be the percent of $54.6 billion spent on veterinary and total amount spent is $17.1 billion.

putting values in above formula

x%=(17.1/54.6)*100

x%=(0.3131)*100

x%=31.31

The 31.31% of the $54.6 Billion was spent.

Learn more about the percentage here:

brainly.com/question/14091961

#SPJ1

8 0

1 year ago

What is the coefficient of y in the expression 2 ⋅ 3 + 9y? 2 3 6 9

pshichka [43]

The answer is going to be 9. Hope that helped.

6 0

3 years ago

Read 2 more answers

Plz help plz only I need the answer

TEA [102]

Answer:

The second one

Step-by-step explanation:

4 0

2 years ago

Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?

Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

• Annual Interest Rate, r=16.5%=0.165

• Compounding Period, k=12 (Monthly)

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

$A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}$

Substitute the values defined above:

$A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}$

Finally, simplify and round to the nearest cent.

$\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}$

After 7 years, Felipe will owe $25,193.17.

3 0

1 year ago

The table shows the distance Randy drove on one day of her vacation

horsena [70]

Given the table showing the distance Randy drove on one day of her vacation as follows:

$\begin{tabular}
{|c|c|c|c|c|c|}
Time (h)&1&2&3&4&5\\[1ex]
Distance (mi)&55&110&165&220&275
\end{tabular}$

The rate at which she travels is given by

$rate= \frac{distance}{time} \\ \\ = \frac{55}{1} =55mi/h$

If Randy has driven for one more hour at the same rate, the number of hours she must have droven is 6 hrs and the total distance is given by

distance = 55 x 6 = 330 miles.

4 0

3 years ago