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Nookie1986 [14]
4 years ago
12

Write an explicit formula for an, the nth term of the sequence 8, 16, 24, ....

Mathematics
1 answer:
Vanyuwa [196]4 years ago
5 0

Answer:

For an nth term U(n) = a + (n -1)d

n = number of terms

a = first term

d = common difference

a = 8

d = 16 - 8 = 8

U(n) = 8 + (n-1)8

= 8 + 8n - 8

= 8n

The formula for the sequence is 8n

Hope this helps.

You might be interested in
The sum of 16 and a number x is equal to 20
baherus [9]
" the sum " means add

16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number
5 0
3 years ago
Read 2 more answers
A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the fol
Alex787 [66]

Answer:

B. 135, 45, 15, 5...

Step-by-step explanation:

I'll go in order from 135 using the pattern shown (tᵇ/3)

135 / 3

135 = 120 + 15

135/3 = (120/3) + (15/3)

135/3 = 40 + 5

135/3 = 45

All four answer choices show this, so no elimination yet.

45 / 3

45 = 30 + 15

45/3 = (30/3) + (15/3)

45/3 = 10 + 5

45/3 = 15

A and D show 30 as term 3, so they are out.

15 / 3

15/3 = 5

C shows 2 as term 4, so that is also out.

This leaves B as the correct answer.

3 0
3 years ago
Dani’s Neighbours paid her to take care of their bird during their vacation Danny spent four dollars of her earnings on an after
Allushta [10]

Answer:

Inequality that represents the amount paid by neighbors of Dani will be

x ≤ 8 + (4 + 16)

Step-by-step explanation:

Let the neighbors of Dani paid her to take care of their bird = $x

Danny spent on an afternoon snack = $4

She paid the amount for a new book = $16

Now the amount left with her is at least $8.

Therefore, inequality which represents the amount paid by her neighbor will be

x - 4 - 16 ≤ 8

x ≤ 8 + (4 + 16)

6 0
3 years ago
Give a combinatorial proof that if n is a positive integer, then
gregori [183]

The Empire is attacking a Rebel base that is stocked with n X-wings and n Y-wings. The Rebels need to build a fleet consisting of n ships (with at least 1 X-wing), to be led by 1 pilot in an X-wing.

There are \binom n1=n ways of picking the leader, and \binom{2n-1}{n-1} ways of building the rest of the fleet, so there's a total of

n\dbinom{2n-1}{n-1}

ways of building such a fleet.

In the other direction, suppose we build a fleet comprising of k X-wings and n-k Y-wings. We have \binom nk ways of picking X-wings and \binom n{n-k} ways of picking Y-wings. Also from the k X-wings we pick 1 to be the leader, which we can do in \binom k1=k ways. So there are

k\dbinom nk\dbinom n{n-k}

ways of building such a fleet. But since

\dbinom nk=\dbinom n{n-k}, we have

k\dbinom nk^2

ways of building the fleet with these specifications. Sum over all possible values of k,

\displaystyle\sum_{k=1}^nk\binom nk^2

4 0
4 years ago
Please I need help..could someone help me?
KIM [24]

Asnswer:

Step-by-step explanation:

Firstly we calculate length of CB

/CA/^2 = /BA/^2 + /CB/^2

12^2 = 6^2 + /CB/^2

144 = 36 + /CB/^2

/CB/^2 = 144 - 36

/CB/^2 = 108

/CB/ = √108

/CB/ = 10.4cm

Sin55 = (/CB/)/(/CD/)

Sin55 = 10.4/(/CD/)

/CD/ = 10.4/sin55

/CD/ = 12.7cm

4 0
4 years ago
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