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love history [14]
2 years ago
12

Write an equation for the nth term of the arithmetic sequence 30,23,16,9,2

Mathematics
1 answer:
Hunter-Best [27]2 years ago
7 0

Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

You might be interested in
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
Two different ways to find the difference for 12-3
Gennadij [26K]
For this case we have:

 way 1:
 
Common factor 3 in the expression:
 12-3 = 3 (4-1)

12-3 = 3 (3)

12-3 = 3 (9)

 Way 2:
 
Write the number 12 as the sum of 4 times 3:
 12-3 = (3 + 3 + 3 + 3) - 3

 Then, for associative property:
 12-3 = 3 + 3 + 3 + (3 - 3)

12-3 = 3 + 3 + 3 + (0)

12-3 = 3 + 3 + 3

12-3 = 9
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!
kotegsom [21]

Answer:

Bottom left graph

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

−2x + y ≤ 4 >> Original Standard Equation

+ 2x + 2x

_________

y ≤ 2x + 4 >> Slope-Intercept Equation

−2[0] + 0 ≤ 4

0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]

\displaystyle y > x + 2 \\ \\ 0 ≯ 2[We shade the part of the graph that does not contain the origin, which is the left side.]

So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], therefore the bottom left graph matches what we want.

** By the way, you meant \displaystyle y > x + 2because this inequality in each graph is a <em>dashed</em><em> </em><em>line</em>. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.

I am joyous to assist you anytime.

7 0
3 years ago
The mean of four positive integers is 5.
a_sh-v [17]

Answer:

(x1 + x4)/2 = 4

Step-by-step explanation:

(x1 + x2+ x3 + x4)/4 = 5         mean

x1 , x2 , x3 , x4

median (x2+x3)/2 = 6

(x2+x3) = 12

The smallest integer is x1, the largest integer x2.

The mean of the largest and smallest of the integers is (x1 + x2)/2.

(x1 + x2+ x3 + x4)/4 = 5  

x1 + x2+ x3 + x4 = 20

x1 + 12 + x4 = 20

x1 + x4 = 20 - 12

x1 + x4 = 8

(x1 + x4)/2 = 8/2

(x1 + x4)/2 = 4

8 0
3 years ago
Ab is perpendicular to cd . How many 90° angles are formed by the intersection?
Strike441 [17]

at least 4 different angles are present

7 0
2 years ago
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