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Sergeu [11.5K]
3 years ago
15

What is the explicit formula for this sequence?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence  -7, -4, -1, 2, 5.......  => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

d = 3

The formula for n-th term of the arithmetic series is:

aₙ = a₁ + (n-1) d

aₙ = -7 + (n-1) 3

God with you!!!

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What is the value of y? Enter your answer in the box. B (5x)° A (2 y+20)° C 40°​
WARRIOR [948]

Answer:

y = 40°

Step-by-step explanation:

The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).

An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.

So,

5x = 40

Solve for x,

x = 40 ÷ 5

x = 8

5x = 40

5(8) = 40

40 = 40

Now we know the two angles. We then find the last angle containing y.

We know that the total angle measurement of the triangle is 180°.

Set up the equation,

40 + 40 + 2y + 20 = 180

Solve for y,

80 + 2y + 20 = 180

100 + 2y = 180

2y = 180 - 100

2y = 80

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y = 40°

7 0
3 years ago
(04.02) An expression is shown below: the square root of 32 plus the square root of 2 Which statement is true about the expressi
Makovka662 [10]
Answer: C

Work:
The square root of 32 can be simplified and then combined with the square root of 2 into one single term. Since 32 is divisible by 16, which is the square root of 4, the term then becomes 4(square root of 2).

You then have 4(square root of 2) + (square root of 2) as your expression which simplifies to be equal to 5(square root of 2). The answer is then C. 
8 0
3 years ago
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