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Contact [7]
3 years ago
9

What is the equation of an arithmetic sequence with a first term of 6 and a second term of 2?

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

The equation of the sequence = 10 - 4n

Step-by-step explanation:

The rule of the arithmetic sequence is  Tn = a + (n - 1)d

Where a is the first term , d is the difference between each consecutive terms and n is the position of the number in the sequence

∵ First term = 6

∵ Second term = 2

∴ The difference between the second and the first = 2 - 6 = -4

∴ Tn = 6 + (n - 1)(-4) = 6 - 4n + 4 = 10 - 4n

∴ The equation of the sequence = 10 - 4n

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complete the solution of the equation. Find the value of y when x equals 9. 3x + 4y = 43 Enter the correct answer. ​
3241004551 [841]
3(9)+4y=43
27+4y=43
4y=16
Y=4
4 0
3 years ago
Complete the parts in each step to find the area of each trapezoid?
Sergio039 [100]

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

$A=\frac{b_{1}+b_{2}}{2} \times h

Step 2: Substitute the given values in the formula.

$A=\frac{7+3}{2} \times 4

Step 3: Add 7 and 3.

$A=\frac{10}{2} \times 4

Step 4: Divide 10 by 2, we get

A=5 \times 4

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

8 0
2 years ago
A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
SSSSS [86.1K]

Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

2369.857704098921

4 0
1 year ago
Help PLEASESSS due in 20
kicyunya [14]
  1. 4 - 4 + 4 ÷ 4
  2. 4 ÷ 4 + 4 ÷ 4
  3. (4 + 4 + 4) ÷ 4
  4. √4 + √4 + 4 - 4
  5. √4 + 4 + 4 ÷ 4
  6. √4 + 4 + 4 - 4
  7. 4 + 4 - 4 ÷ 4
  8. 4 + 4 + 4 - 4
  9. 4 + 4 + 4 ÷ 4
  10. √4 + √4 + √4 + 4
  11. 44/(√4 + √4)
  12. √4 + √4 + 4 + 4
  13. 44/4 + 4
  14. 4 + 4 + 4 + √4
  15. 44/4 + 4
  16. 4 * 4 * 4 ÷ 4
  17. 4 * 4 + 4 ÷ 4
  18. 4 * 4 - √4 + 4
  19. 4! - 4 - 4 ÷ 4
  20. 4 * (4 + 4 ÷ 4)
  21. 4! - 4 + 4 ÷ 4
  22. 4 * 4 + 4 + √4
  23. 4! - √4 + 4/4
  24. 4 * (√4 + √4 + √4)
  25. 4! + √2 - 4 ÷ 4
  26. 4! + √4 + 4 - 4
  27. 4! + √4 + 4 ÷ 4
  28. 4! + 4 + 4 - 4
  29. 4! + 4 + 4 ÷ 4
  30. 4! + √4 + √4 + √4

Lol, that took a while, hope it helps!

7 0
3 years ago
Please solve.<br> -7 = z over 2 + 1
mafiozo [28]
-7=z/2+1

What you first need to do is to multiply both sides of the equation by 2

-14=z+2

Now you move the variable to the left side and change within it’s own sign

-z-14=2

Into

-z=2+14

Now you then add the numbers

-z=16

The last part you do is change the sign on both sides in this equation

z=-16

Therefore, z=-16 is your answer in number 16.
6 0
2 years ago
Read 2 more answers
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