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BaLLatris [955]

4 years ago

11

There were 65 people waiting in two lines to buy a snowball ice drink .there were join in the line by 11 more people a total of

9 people got their drinks and left how many people were still waiting in the lines?

1 answer:

ASHA 777 [7]4 years ago

7 0

Answer:

67

Step-by-step explanation:

You might be interested in

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

2 years ago

Use the diagram to answer the questions below.

PtichkaEL [24]

The answer is E hope this helps

5 0

3 years ago

How can you convert a fractions to a decimal if the fraction has a multiple of 10 in the denominator?

tester [92]

Divide the denominator by the numerator

6 0

3 years ago

Sam and Harry are family. Sam is currently is three times Harry's age. Sam's age is also 10 more than twice Henry's age. What ar

kramer

Answer:

<em>Sam is 30 years old, and Harry is 10 years old.</em>

Step-by-step explanation:

Let us assume that the age of Sam is x and the age of Harry is y.

Sam is currently is three times Harry's age.

So, $x=3y$ ----------------------1

Sam's age is also 10 more than twice Harry's age.

so, $x=2y+10$ ---------------2

Subtracting 2 from 1, we get

$\Rightarrow x-x=3y-2y-10$

$\Rightarrow 0=y-10$

$\Rightarrow y=10$

putting this in equation 1,

$x=3(10)=30$

Therefore, Sam is 30 years old, and Harry is 10 years old.

6 0

3 years ago

Read 2 more answers

PLZ ANSWER PLZ HELP ME

Nadya [2.5K]

The answer to the question is b

5 0

3 years ago