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kolezko [41]
3 years ago
12

Find the 88 term of the arithmetic sequence 4,-1,-6

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

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A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

6 0
3 years ago
What is the slope of the line represented by the equation y= 4/5x-3
guajiro [1.7K]

Answer:

m=

\frac{4}{5}

Step-by-step explanation:

Slope of a line is the co efficient of x in the given line.

y =  \frac{4}{5} x - 3 \\ y = mx + b

6 0
3 years ago
What is 500000 and 60000000 as a decimal
Juliette [100K]

The only way to make a decimal out of either of those numbers is to write a decimal point with some zeros after it.

500,000  =  500,000.000

60,000,000  =  60,000,000.00000

etc.

3 0
3 years ago
-10x = -210 how would i find this answer?
jeka94

To find the answer to -10x=-210 you must divide -210 by -10

-210/-10= 21

Therefore x=21

So the proper equation is -10(21)=-210

3 0
3 years ago
Read 2 more answers
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is t
Leona [35]

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

3 0
3 years ago
Read 2 more answers
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