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3 years ago

What is the 72nd term of arithmetic sequence-27,-11,5

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Answer:

1109

Step-by-step explanation:

you can subtract the terms to see the difference between them

-11-(-27)=16

The sequence is increasing by 16

you can plug that 16 in the formula for d

a_n=a_1+(n-1)d

a_n=a_1+(n-1)16

n represents the term you want to find in this case the 72nd

a sub 1 is the first term of the sequence in this case -27

a_72=-27+(72-1)16

a_72=-27+(71)16

a_72=-27+1136

a_72=1109

irinina [24]3 years ago

6 0

Answer:

1109.

Step-by-step explanation:

The common difference is -11 - (-27) = 16 (also 5 - -11 = -16)

72nd term = a1 + d(n -1)

= -27 + 16(71)

= 1109.

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What is this answer because I can't figure this out and my math teacher doesn't explain it very well

iVinArrow [24]

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5 0

3 years ago

Read 2 more answers

Which of the following is a correct interpretation of the expression -7- (-11)?

Brilliant_brown [7]

Answer:

B. Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

Given:

- 7 - (-11) expression

We can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:

-7- (-11) = - 7 + 11 = 4

Correct interpretation of of this expression is:

Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.

Correct choice is:

B. Start at -7 on the number line and move 11 to the right.

6 0

3 years ago

If the sum of three consecutive integers is 36, what is the smallest of these integers?

DedPeter [7]

Let the three consecutive equals:
x, x+1, x+2

sum:
x+(x+1)+(x+2) = 36
3x + 3 = 36
x+1 = 36/3
x+1 = 12
x=12-1
x=11

5 0

3 years ago

ASAP PLEASE HELP!!!!

zzz [600]

Answer:

It will take Josie 80 minutes to run 10 miles.

Step-by-step explanation:

We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!

We know that the ratio of 24:3 will be the same for any number of miles, so we can say

$\frac{24}{3} =\frac{x}{10\\}$