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3 years ago

Which sequence matches the recursive formula?

Mathematics

2 answers:

Naddika [18.5K]3 years ago

5 0

5,15,35,75 is the answer for your questio

goldenfox [79]3 years ago

4 0

Hello:
<span>an = 2an-1 + 5, where a1 = 5
n =2 a2 = 2a1 +5 = 2(5)+5 = 15
</span>n =3 a3 = 2a2 +5 = 2(15)+5 = 35
n =4 a4 = 2a3 +5 = 235)+5 = 75
answer :
<span>B)
5, 15, 35, 75, ...</span>

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Over her 17 day winter break, Lindsay want to read the last book in the Harry Potter seriees, which has 759 pages. If she reads

Alex Ar [27]

Answer: Yes, she will finish before winter break is over.

Explanation:

Since we have given that

Number of days in winter break = 17

Number of pages she read in each day = 75

Number of pages in the Harry Potter series she wants to read = 759

Now, we'll use unitary method,

in 1 day , she read = 75 pages

in 17 days , she read is given by

$17\times 75=1275\text{ pages}$

and 759 pages is less than 1275 pages.

So, she will finish before winter break is over.

7 0

3 years ago

What is 40% of a number is added to the number, the result is 182

hjlf

The answer to your question is 130.

8 0

3 years ago

Write a recursive formula and an explicit formula for the following arithmetic sequence. 14,17,20,23,26

Zarrin [17]

The recursive formula is $a_{1}$ = 14; $a_{n}$ = $a_{n-1}$ + 3

The explicit formula is $a_{n}=3n+11$

Step-by-step explanation:

The recursive formula of the nth term of the arithmetic sequence is

$a_{1}$ = first term; $a_{n}$ = $a_{n-1}$ + d, where

$a_{1}$ is the first term in the sequence
$a_{n}$ is the nth term in the sequence
$a_{n-1}$ is the term before the nth term
n is the term number
d is the common difference.

The explicit formula of the nth term of the arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

$a_{n}$ is the nth term in the sequence
a is the first term
n is the term number
d is the common difference

∵ The arithmetic sequence is 14, 17, 20, 23, 26

∴ The first term is 14

∵ 17 - 14 = 3

∴ The common difference is 3

∵ The recursive formula is $a_{1}$ = first term; $a_{n}$ = $a_{n-1}$ + d

∵ $a_{1}$ = 14

∵ d = 3

∴ $a_{1}$ = 14; $a_{n}$ = $a_{n-1}$ + 3

The recursive formula is $a_{1}$ = 14; $a_{n}$ = $a_{n-1}$ + 3

∵ The explicit formula is $a_{n}=a+(n-1)d$

∵ a = 14

∵ d = 3

∴ $a_{n}=14+(n-1)3$

- Simplify the right hand side

∴ $a_{n}=14+3n-3$

- Add like terms

∴ $a_{n}=3n+11$

The explicit formula is $a_{n}=3n+11$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

5 0

3 years ago

Nate bought 2 large pizzas and 1 small pizza and paid $36 if the difference in cost between a large and a small pizza is $5.25 h

Marat540 [252]

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6 0

3 years ago

If you answer (making sense) and explain (so I can understand) you will be awarded! Please help ASAPA

Pavlova-9 [17]

What you are doing is called cross multiplication. You have to multiply the top of the first fraction by the bottom of the second fraction. 1 x 378, which equals 378. Then you multiply the bottom of the first fraction by the top of the second fraction. 250 x X. 250x=378. You then have to solve for x or divide 378 by 250. The answer to 378 / 250 = 1.512. But the instructions want you to round to the nearest tenth and that is the first decimal place. Your answer is 1.5.

8 0

4 years ago