All categories

3 years ago

Write an explicit formula for an , the nth term of the sequence 29, 19, 9, ....

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

$a_{n}$ = 39 - 10n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

19 - 29 = 9 - 19 = - 10

This indicates the sequence is arithmetic with nth term ( expicit formula )

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = - 10 , then

$a_{n}$ = 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n

You might be interested in

How are real numbers different from irrational number?

Readme [11.4K]

Those labels are not opposites. There are tons of real irrational numbers.

3 0

3 years ago

PLZ HELP ME ASAP W THIS !!!

ratelena [41]

Answer:

(2x+3) x (x-7)

Step-by-step explanation:

3 0

3 years ago

Solve the system using the elimination method.

spayn [35]

Answer:

(x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

(3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

10x +2z = -16 . . . . collect terms

5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

11(5x +z) -(16x +11z) = 11(-8) -(-22)

39x = -66

x = -66/39 = -22/13

From [eq4], we can find z as ...

z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0

3 years ago

The sum of two numbers is 50 and their difference is 4 what are the two numbers

Deffense [45]

Answer:

27 and 23

Step-by-step explanation:

We can solve this problem as a system of equations. X is the first number and Y is the second number.

The first equation is x+y = 50 and the second equation is x-y=4

Now we solve the system, using elimination method:

x+y=50

x-y=4

2x = 54

x = 54/2

x = 27

And from any of the equations we can find Y

27 + y = 50

y = 50 - 27

y = 23

6 0

3 years ago

This table shows the number of miles that Sharon rode her bicycle in six weeks. If the mean number of miles she rode is 30, find

Nastasia [14]

(21 + 34 + x + 25 + 37 + 22) / 6 = 30
(139 + x) / 6 = 30 .....multiply both sides by 6
139 + x = 30 * 6
139 + x = 180
x = 180 - 139
x = 41......so during week 3, she rode her bike 41 miles

5 0

3 years ago