10. Which equations could be used to solve<br> for x? Circle all that apply.

5. Find the first, fourth, and tenth terms of the arithmetic

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

4 years ago

My dad kicked me out of middle school and put me into a online school. so now I can't see any of my friends. And my dad deleted

aliya0001 [1]

Step-by-step explanation:

Aw poor thing :(. I'm so sorry, honey. Is there anything I can do? If you need to vent or talk about it you're always welcome to talk to me. I haven't seen my friends since March so I understand. If there is anything that I can do I will gladly do it if possible. Stay safe ❤️.

4 0

3 years ago

Read 2 more answers

The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which

Harrizon [31]

Answer:

12

Step-by-step explanation:

The median is the one in the middle. For an <u>odd</u> number of seats, average the first and last seat numbers.

(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.

For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!

4 0

3 years ago

Read 2 more answers

Match each decimal with its percent equivalent.

Artemon [7]

Answer:

1.5 = 150%

.15 = 15%

.01 = 1%

.1 = 10%

Please give brainliest

4 0