All categories

3 years ago

Find the sum of the first 48 terms of the following series, to the nearest integer.

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

3,672

Step-by-step explanation:

Given the sequence 6, 9, 12...

The sequence is an arithmetic sequence

first term a = 6

common difference d = 9 - 6 = 12 - 9 = 3

number of terms n = 48

Sn = n/2[2a+(n-1)d]

Substitute the given values

S48 = 48/2[2(6)+(48-1)(3)]

S48 = 24(12+(3*47))

S48 = 24(12+141)

S48 = 24(153)

S48 = 3,672

Hence the sum of the first 48terms is 3,672

You might be interested in

Jeremie bought 5 pounds of bananas for $4.45. How much is 1 pound of bananas? Show or explain your reasoning

umka2103 [35]

Answer:

1 pound of bananas is 0.89

Step-by-step explanation:

Money over quantity 4.45/5

that means you divide so heres the layout

4.45/5 = x/1 so that is

5x=4.45 divide 5 so that gives us our variable 5÷5 that cancels out five 4.45 divide by 5 is 0.89

so for every pound of bananas is 0.89

And you would use Unite Rate as your strategy

4 0

3 years ago

Read 2 more answers

$1689 invested for 4 years at 3% compounded annually ?

Ira Lisetskai [31]

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

$A=P(1+\frac{r}{n} )^{nt}$

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

$A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901$

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: brainly.com/question/14295570

5 0

2 years ago

Help Use the distributive property to demonstrate that the product of 10 and -(1)/(5) is a negative number. Make sure to include

marissa [1.9K]

Answer:

-2

Step-by-step explanation:

We have to multiply 10 and $\frac{-(1)}{(5)}$

Here we have to distribute the negative sign.

Distributive property = -(a) = -a

Using the above property, we get $\frac{-(1)}{(5)}$ = $\frac{-1}{5}$

Now we have to multiply 10 and $\frac{-1}{5}$

= 10 × $\frac{-1}{5}$

= $\frac{10 times -1}{5}$

= $\frac{-10}{5}$

Now we have to divide -10 by 5.

= -2

3 0

3 years ago

Which expression is equivalent to -51 - (-60)−51−(−60)

Oksanka [162]

Answer:

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

I don't know what are the expressions but try yourself

Believe in yourself you can do it

3 0

2 years ago

Sherry purchased a new backpack for her daughter. The backpack was on sale for 20% off the regular price. If Sherry paid $28.80

madreJ [45]

28.80 + .20X = X

.20X = X - 28.80

1/5 = .20

X/5 = X -28.80

X = 5X - 144

Set the new X equal to the original X

28.80 + .20X = 5X - 144

172.8 + .20X = 5X

172.8 = 4.8X

36 = X

36$ is the original price

To check,

28.80 + (.20 x 36) = 36

28.80 + 7.2 = 36

36 = 36

6 0

3 years ago