All categories

3 years ago

Find the next three numbers in the pattern: 1, 4, 9, 16, 25, 36, ...

Mathematics

2 answers:

Paha777 [63]3 years ago

6 0

Judging by the way the pattern goes,
1+3=4
4+5=9
9+7=16
16+9=25
25+11=36

Then the next 3 numbers would be:
36+13= 49
49+15=64
64+17=81

The next three numbers are 49, 64 and 81

The pattern is adding 2 to each number. So 3 is added to 1 to make 4. The next number added to 4 would be 5, so on so forth.

Leviafan [203]3 years ago

6 0

Answer: 49, 64, and 81

Step-by-step explanation: To find the next three terms in this pattern, begin by studying the pattern.

Notice that the difference between 1 and 4 is positive 3, the difference between 4 and 9 is positive 5, the difference between 9 and 16 is positive 7, the difference between 16 and 25 is positive 9, and the difference between 25 and 36 is positive 11.

Since the differences are increasing by 2 each time, we can find the next term in the pattern by adding 36 + 13 to get 49. Next, we will add 49 + 15 to get 64. Then, we will add 64 + 17 to get 81.

Thus, the next three terms in the pattern are 49, 64, and 81.

You might be interested in

When a new machine is not functioning properly, 15% of the items produced are defective. Assume that we will randomly select 5 p

cestrela7 [59]

Answer:

P(X<=2) = 0.9736

Step-by-step explanation: Please find the attached file for the solution

7 0

3 years ago

Make up this problem yourself 3 divided by 1/2

Helen [10]

Answer:

3 : (1/2) = $\frac{6}{1} =6$

Step-by-step explanation:

Divide: 3 : $\frac{1}{2} =\frac{3}{1} *\frac{2}{1} =\frac{3 * 2}{1*1} =\frac{6}{1} =6$

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$ ) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

In words - three divided by one half = six.

8 0

2 years ago

A bank features a savings account that has an annual percentage rate of 4.8 % with interest compounded monthly. Umbrosia deposit

Scilla [17]

S(8)=3500(1+(.047/4))^32

S(8)=$5086.40 in the account after 8 years.

a)The relative growth rate is .25, or 25%

b)at t=0, the population is 955e^.25(0)=955

c)at t=5; the population is 955*e^.25(5)=955*3.49=3333.28 bacterium.

5 0

11 months ago

Suppose yoko borrows $3500 at an interest rate of 4% compounded each year Find the amount owed at the end of 1 year

olchik [2.2K]

Amount owed at the end of 1 year is 3640

<h3><u>Solution:</u></h3>

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

<em><u>Formula for Amount of compounded yearly is as follows:</u></em>

$A=p\left(1+\frac{r}{100}\right)^{n}$

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

$\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}$

$\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}$

Hence amount owed at the end of 1 year is 3640

5 0

3 years ago

what's the difference between (-4)^-3 and -4^-3. basically what's the difference when there's parenthesis for the base number?

NNADVOKAT [17]

(-4)^-3 = $\frac{1}{-64} or -0.015625$
-4^-3 = $\frac{1}{-64} or -0.015625$

Basically in this situation there is no difference whether parenthesis are used or not.

5 0

3 years ago