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Delvig [45]
3 years ago
13

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Mathematics
1 answer:
Arada [10]3 years ago
8 0
The answer is d. You are welcome
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Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
The sum of three consecutive integers is 126..............
Rasek [7]
The three consecutive integers are: x, (x+1) and (x+2).
We can suggest this equation:
x+(x+1)+(x+2)=126
3x+3=126
3x=126-3
3x=123
x=123/3
x=41

x=41
(x+1)=41+1=42
(x+2)=41+2=43

Answer: the three consecutive integers would be: 41,42 and 43. 
6 0
3 years ago
The radius of a circular track is 0.2 miles. Chloe ran around the track 3 times. How many kilometers did she run? Use 3.14 for p
Ira Lisetskai [31]

Answer:

6 km

Step-by-step explanation:

Start by finding the circumference of the circle

C = 2πr

C = 1.256

Multiply by 3

3.768

Convert to km

3.768 * 1.6 = 6.0288

Round to nearest whole km

6

Sorry if this is late!

4 0
3 years ago
Read 2 more answers
What is this please help
sweet-ann [11.9K]

Answer:

Absolute value means how far are you from zero on the number line.

absolute value of | -18| for example is 18  

this means that you are at -18 on the number line that is 18 points away from zero.

and absolute value of |18 | is 18

this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.

Step-by-step explanation:

4 0
3 years ago
What is the expanded form for 114,006
____ [38]
In expanded form, the answer would look like this:

100,000 + 10,000 + 4,000 + 6
3 0
3 years ago
Read 2 more answers
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