All categories

3 years ago

The explicit formula for a sequence is

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Let n = 21, and evaluate the expression.

$a_n = -2 + \dfrac{3}{2}(n - 1)$

$a_{21} = -2 + \dfrac{3}{2}(21 - 1)$

$a_{21} = -2 + \dfrac{3}{2}(20)$

$a_{21} = -2 + \dfrac{3}{1}(10)$

$a_{21} = -2 + 30$

$a_{21} = 28$

You might be interested in

Wat the answer for this I am going crazy

Lorico [155]

0.54+12.1 =12.64
2.55+145.05=147.6
25.59+1.2=26.79
23.04+124.1+34.06=181.2
1.51+3.07+4.18=8.76
You’re welcome

4 0

3 years ago

Grant takes an Uber from his hotel to a restaurant. The cost of the Uber is a $2.95 initial charge plus $2.25 per mile. Which eq

Papessa [141]

The answer is Y= 2.25x+2.95

6 0

3 years ago

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

3 years ago

What is 18.25 as a fraction ?

Elis [28]

73/4 is the answer to your question sir your welcome

7 0

3 years ago

Read 2 more answers

√7 is between what two<br> consecutive integers?

bulgar [2K]

Answer: √7 is between 2 and 3

Step-by-step explanation:

The next lower number that is a perfect square is 4, the next higher perfect square is 9. Take the roots of those two numbers to find the integers you are looking for.

7 0

3 years ago