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3 years ago

Find an explicit formula for the following sequence, an, which starts with a1=−8. −8,−5,−2,1,4,…

Mathematics

2 answers:

stepan [7]3 years ago

8 0

Formula for an is 3n - 11

Step-by-step explanation:

Step 1: Equation for a(n) = a + (n - 1)d where a = - 8, d = common difference = a2 - a1 = -5 - -8 = 3

⇒ a(n) = -8 + (n - 1)3 = - 8 + 3n - 3 = 3n - 11

Virty [35]3 years ago

6 0

Answer:it’s is D

Step-by-step explanation:

You might be interested in

5 tons of cement cost $900.00. What is the price per pound?

charle [14.2K]

Answer:

Cement costs vary from approximately $50 to $75 per ton or 2.5 to 3.75 cents per pound.

Step-by-step explanation:

7 0

3 years ago

Find the number of distinct triangles with the measurements a = 5, b =2, and a = 51 degrees.

elixir [45]

The answer is the option b. 1.

Two sides and one angle determine one unique triangle.

If the angle is the between the two sides, you just can use the rule known as SAS, Side Angle Side.

When that is the case you use the cosine rule.

When the known angle is not between the two sides but one of the others, you use sine theorem.

Then in any case when you know two sides and one angle of a triangle the other side and angles are determined, which implies that there is only one possible triangle.

4 0

3 years ago

Solve the following linear quadratic system of equations algebraically. y=^2+3x-2 y+3=5x

USPshnik [31]

Answer:

$x=1$

$y=2$

Step-by-step explanation:

$y=x^2+3x-2$ , $y+3=5x$

Replace all occurrences of $y$ in $y+3=5x$ with $x^2+3x-2.$

$(x^2+3x-2)+3=5x$

$y=x^2+3x-2$

Add $-2$ and 3.

$x^2+3x+1=5x$

$y=x^2+3x-2$

Subtract 5x from both sides of the equation.

$x^2+3x+1-5x=0$

$y=x^2+3x-2$

Subtract 5x from 3x.

$x^2-2x+1=0$

$y=x^2+3x-2$

Rewrite 1 as $1^2$ .

$x^2-2x+1^2=0$

$y=x^2+3x-2$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$2x=2$ · $x$ · $1$

$y=x^2+3x-2$

Rewrite the polynomial.

$x^2-2$ · $x$ · $1$ $+$ $1^2=0$

$y=x^2+3x-2$

Factor using the perfect square

trinomial rule $a^2-2ab+b^2=(a-b)^2,$

where a = x and b = 1.

$(x-1)^2=0$

$y=x^2+3x-2$

Set the $x-1$ equal to 0.

$x-1=0$

$y=x^2+3x-2$

Add 1 to both sides of the equation.

$x=1$

$y=x^2+3x-2$

Replace all occurrences of $x$ in

$y=x^2+3x-2$ with 1.

$y=(1)^2+3(1)-2$

$x=1$

$y=2$

3 0

3 years ago

A 5 ounce can of peas cost $0.85. An 11 ounce can of peas cost $2.20. Which is the better buy?

Norma-Jean [14]

5 ounce of peas.

Explanation:

5 ounces of a can of peas is $0.85.
10 ounces of two cans of peas is $1.75.

10 is closer to 11.

So 5 ounces of a can of peas is more reasonable.

8 0

4 years ago

Please help! 10 points and brainlyist!!

yarga [219]

Answer:

1.80 in^3

1.0 fluid ounces^3

Step-by-step explanation:

volume of a cone = 1/3 πr²h

π = 3.14

r = 2.2 / 2 = 1.1

h = the value of h can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

1.8² = 1.1² + b²

3.24 = 1.21 + b²

3.24 - 1.21 = b²

2.03

b = √2.03 = 1.42

Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3

1.80 x 0.554 = 1.0 fluid ounces^3

5 0

3 years ago