All categories

3 years ago

Write the first five terms of the sequence defined by the recursive formula an=2*(an-1)+3 with a1=-2

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

Answer:

The first five terms of the sequence are 5, 7, 9, 11 and 13.

Step-by-step explanation:

The first five terms of the sequence are:

a₁ = 2 * (2 - 1) + 3 = 2 * 1 + 3 = 2 + 3 = 5

a₂ = 2 * (3 - 1) + 3 = 2 * 2 + 3 = 4 + 3 = 7

a₃ = 2 * (4 - 1) + 3 = 2 * 3 + 3 = 6 + 3 = 9

a₄ = 2 * (5 - 1) + 3 = 2 * 4 + 3 = 8 + 3 = 11

a₅ = 2 * (6 - 1) + 3 = 2 * 5 + 3 = 10 + 3 = 13

The first five terms of the sequence are 5, 7, 9, 11 and 13.

You might be interested in

Select from the drop-down menu to correctly identify the property shown.

FinnZ [79.3K]

This is the Commutative Property of addition. called Commutative because the numbers move around to the other order, or "commute"

5 0

3 years ago

Read 2 more answers

What is the meausure of angle JKL ?

Serggg [28]

I think it measures an angle of 180 degrees

6 0

3 years ago

The coastline of the US is 12,383 miles long. Canada's coastline is 113,211 miles longer than the coastline of the US. How long

Vanyuwa [196]

I'm assuming this is just a simple addition problem so 12,383 miles plus 113,211 miles is equal to 125 594 miles

8 0

3 years ago

Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13).

const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

y = 3 x - 11

Step-by-step explanation:

Explanation:-

Given points are (2,-5) and (8, 13)

The Slope of the line

$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3$

Equation of the line having slope 'm' and given point

$y - y_{1} = m (x - x_{1} )$

(x₁ , y₁) = ( 2, -5 )

$y - (-5) = 3 (x - 2 )$

y + 5 = 3x - 6

The equation of the straight line in slope intercept form

y = m x + c

y = 3 x - 6-5

y = 3 x - 11

Final answer:-

The equation of the straight line in Slope- intercept form

y = 3 x - 11

8 0

3 years ago

Please help me with thisss

Solnce55 [7]

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16 =

-2x + 2y = -2 =

(^ the two’s cancel out) =

6y = -18 =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6 =

(^ the six’s cancel out) =

y = -3 =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16 =

2x - 12 = -16 =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4 =

2x/2 = -4/2 =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2 =

THEREFORE YOU GET (-2, -3)

4 0

3 years ago