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hammer [34]
3 years ago
15

Last questions, plz help

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

9. a_n=7+6n

10. a_n=a_{n-1}+7

Step-by-step explanation:

9. Given the sequence

13, 19, 25, ...

In this sequence,

a_1=13\\ \\a_2=19\\ \\a_3=25\\ \\...

Note that

a_2-a_1=19-13=6\\ \\a_3-a_2=25-19=6,

then the common difference in this sequence is d=6

You have

a_1=13\\ \\d=6,

then the explicit formula is

a_n=a_1+(n-1)d\\ \\a_n=13+(n-1)\cdot 6\\ \\a_n=13+6n-6\\ \\a_n=7+6n

10. Given the sequence

-10,-3, 4, 11, ...

In this sequence,

a_1=-10\\ \\a_2=-3\\ \\a_3=4\\ \\a_4=11\\ \\...

Note that

a_2-a_1=-10-(-3)=-10+3=-7\\ \\a_3-a_2=-3-4=-7\\ \\a_4-a_3=11-4=7,

then the common difference in this sequence is d=7

You have

a_1=-10\\ \\d=7,

then the recursive formula is

a_n=a_{n-1}+d\\ \\a_n=a_{n-1}+7

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100 POINTS PLEASE HELP ASAP!!!!
denis-greek [22]
2x+x=105
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The answer is A
6 0
3 years ago
What is the value of n? n–2=10n+4/2 n =
slamgirl [31]

simplify


n-2 = 10n/2 + 4/2


n-2 = 5n + 2


subtract 5n to both sides


n - 2 - 5n = 5n + 2 - 5n


simplify


-4n - 2 = 2


add 2 to both sides


-4n - 2 + 2 = 2 + 2


simplify


-4n = 4


divide both sides by -4


-4n/-4 = 4/-4


simplify


n = -1




                             hope it helps



8 0
3 years ago
How many 3 digit numbers can you make using these numbers: 4,2,9 (numbers can be reapeated)
bogdanovich [222]

Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

8 0
3 years ago
Solve this 5a-d please
Talja [164]
The answe is probably c
5 0
3 years ago
Solve the inequality 2n – 1 < 39​
MatroZZZ [7]

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

3 0
2 years ago
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