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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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6 x 340 = 2,040

Step-by-step explanation:

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3 years ago
Please please do a step by step of how to solve the equation and the answer! please and thank you!
Yuliya22 [10]

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

6 0
2 years ago
Which of the following is the correct factorization of the polynomial below?
Finger [1]

Step-by-step explanation:

(x+3)(x-5)

= x²-5x+3x-15 = x²-2x-15

But the given polynomial x³-15

So it is not the correct factorization.

Again, (x-3)(x+5)

= x²+2x-15

But the given polynomial x³-15

So it is not the correct factorization.

Again , (x+3)(x²-4x+5)

= x³-4x²+5x+3x²-12x+15

= x³-x²-7x+15

But the given polynomial x³-15

So it is not the correct factorization.

So , optionD is the correct answer

8 0
3 years ago
Read 2 more answers
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