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3 years ago

What is the next term of the arithmetic sequence? -7,-3,1,5,9,

Mathematics

2 answers:

lukranit [14]3 years ago

4 0

Step-by-step explanation:

The first term (a) = -7

common difference= -3-(-7)= -3+7= 4

The next term i.e. 6th term

a6= a+5d

= -7+5(4)= -7+20= 13

inessss [21]3 years ago

3 0

Answer:

The next term is 13.

Step-by-step explanation:

Looking at the previous numbers...

for -7 to get to -3, you have to add 4, and for -3 to get to 1 you have to add 4.... and so on. So in order to find the next number, add 4 to 9, and which you get 13.

You might be interested in

Identify the 33rd term of the arithmetic sequence 9, 7 and one half, 6...

marta [7]

Answer:

-39

Step-by-step explanation:

The general term of an arithmetic sequence is ...

an = a1 +d(n -1)

This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...

a33 = 9 -1.5(33 -1) = 9 -48 = -39

The 33rd term is -39.

5 0

3 years ago

Dont even know where to start

zalisa [80]

Answer:

$\displaystyle M = ( 3,1 )$

Step-by-step explanation:

we are given the endpoint i.e P and Q of a line segment

we want to figure out the Midpoint of the Line segment

in order to do so we can use Midpoint formula given by

$\displaystyle M = \bigg( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}}{2} \bigg)$

so let

$x_1=-2\\x_2=8\\y_1=-2\\y_2=4$

substitute

$\displaystyle M = \bigg( \frac{ - 2 + 8}{2} , \frac{ - 2 + 4}{2} \bigg)$

simplify addition:

$\displaystyle M = \bigg( \frac{ 6}{2} , \frac{ 2}{2} \bigg)$

simplify division:

$\displaystyle M = ( 3,1 )$

hence,

the Midpoint of the line segment is (3,1)

5 0

3 years ago

Please help test due in 1 hour and it’s a grade! Will give brainliest and good review!

natita [175]

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

7 0

3 years ago

Help asap please, explain why too!

emmainna [20.7K]

Answer:

Yes triangle ABC and DEF are similar.

Step-by-step explanation:

One rule of triangles is that all the angles in a triangle will add up to 180 degrees.

Now, first, you will figure out the remaining angle in triangle ABC.

Add up 35 and 20. (35 + 20 =55)
Subtract 55 from 180 (180-55= 125)
When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.

Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.

125 + 35 = 160
180-160= 20

The remaining angle is 20 degrees

As you can see, triangle ABC shares the same angles as triangle DEF.

This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.

You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity

I hope this explanation helped and have a good day!

8 0

3 years ago

Doug's garden produces 5.8 times as many vegetables as Kelsey's garden. Together, the gardens produce 102 pounds of vegetables.

muminat

Answer:

Doug's garden: 87 lbs
Kelsey's garden: 15 lbs

Step-by-step explanation:

Let k represent the pounds of produce coming from Kelsey's garden. Then Doug's garden produces 5.8k pounds of produce, and the total weight of it is ...

k + 5.8k = 102

6.8k = 102 . . . . . . . . . . . simplify

k = 102/6.8 = 15 . . . . . . pounds of produce from Kelsey's garden

5.8k = 5.8·15 = 87 . . . . pounds of produce from Doug's garden

3 0

3 years ago