Ask question

Ask question

All categories

3 years ago

13

3e + 7 - e and 2e + 10 + 2e -3

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

The sum is

$6e + 14$

Step-by-step explanation:

Assuming we are finding the sum of :

3e + 7 - e and 2e + 10 + 2e -3

Then we set up the addition as follows:

$3e + 7 - e + 2e + 10 + 2e - 3$

We group similar try to get:

$3e - e + 2e + 2e - 3 + 7 + 10$

We now combine the similar terms to obtain:

$6e + 14$

Therefore the sum is

$6e + 14$

You might be interested in

PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

3 years ago

Read 2 more answers

Based on the diagram, which of the following represents the cosine of 70 degrees?

Bad White [126]

Answer:

Brainlist pls?

Step-by-step explanation:

The Answer is B

3 0

2 years ago

Read 2 more answers

How much does 25 go into 1328

Evgen [1.6K]

25 goes into 1328, 53.12 times.

What you need to do is divide 1328 by 25.

Hope this helps!

4 0

3 years ago

Read 2 more answers

What percent of 156 is 78

alina1380 [7]

50% is your answer hope i helped you

4 0

3 years ago

The sum of three even consecutive integers if the first integer is y.

user100 [1]

Answer:

y + 1 + y + 2 + y + 3 =3y+6

Step-by-step explanation:

study hard:)

6 0

3 years ago