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Bad White [126]

2 years ago

13

Can someone help with this

2 answers:

leonid [27]2 years ago

7 0

Answer:

The correct answer is B.

Step-by-step explanation:

He starts out by eating 7. Then later on he eats (f) more to equal 15.

More is a word associated with addition so you add and get the equation:

7 + f = 15

icang [17]2 years ago

3 0

Answer:

Step-by-step explanation:

b because you are trying to find all the fruit he ate, so during lunch and after diner.

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Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

1 year ago

What does a standard deviation of 0 indicates ?

DIA [1.3K]

What does a standard deviation of 0 indicates 0.

4 0

1 year ago

What type of transformation is ABCD to A’B’C’D’?

mixas84 [53]

Answer:

c

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

Joseph buys a bag of 60 pieces of taffy. In the bag, there are 12 cinnamon pieces, 18 raspberry pieces, 18 key lime pieces, and

Rus_ich [418]

You take the amount of raspberry pieces and divide with the total of taffy pieces

The answer is 0.3

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3 0

2 years ago

IS THE PRODUCT OF 89 AND 20?

Shalnov [3]

Answer:

1780

Step-by-step explanation:

product means multiply

20x89=1780

4 0

2 years ago