All categories

3 years ago

Find the 9th term of an arithmetic sequence that has a 4th term of 27 and a 5th term of 19

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

-13

Step-by-step explanation:

5th term - 4th term = common difference

= 19 - 27

= -8

Thus the 9th term = 5th term + 4(-8)

= 19 - 32

= -13 (answer

You might be interested in

Answering these questions

Rudiy27

$1.\\ a)\ y=2x-3\ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{2x-y-3=0}\\\\b)\ y=\dfrac{1}{3}x-\dfrac{2}{5}\ \ \ |multiply\ both\ sides\ by\ 15\\\\15y=5x-3\cdot2\ \ \ |subtract\ 15y\ from\ both\ sides\\\\\boxed{5x-15y-6=0}$

$2.\\a)\ 5x-y+3=0\ \ \ |add\ y\ to\ both\ sides\\\\\boxed{y=5x+3}\\\\d)\ 7x+2y-3=0\ \ \ |subtract\ 7x\ from\ both\ sides\\\\2y-3=-7x\ \ \ |add\ 3\ to\ both\ sides\\\\2y=-7x+3\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{y=-3.5x+1.5}$

$3.\\y=25x+100\ \ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{25x-y+100=0}$

6 0

3 years ago

Solve the following exponential equation: 5^x=2 e^x=10

olya-2409 [2.1K]

Number 1.

$5^x=2$ , first we will take the $log$ of both of these numbers getting us,

$x=\frac{log(2)}{log(5)}$ , which then gives us that $x=0.4306777777....$

Number 2

$e^x=10$ , solve for our exponent, $2.718282^x=10$ , use the logarithmic formula, and we get,

$x=\frac{log(10)}{log(2.718282)}$ , which then we get that $x=2.302585$

3 0

2 years ago

Which is the difference of 21 1/4 - 18 2/4 A 2 1/4 B 2 2/4 C 2 3/4 D 3 1/4

PSYCHO15rus [73]

So when you change the mixed numbers into improper fractions, they become 85/4 and 74/4. Your new problem is 85/4-74/4. Basically 85-74. That equals 9. So the improper fraction answer is 9/4. We now make that back into a mixed number, creating 2 1/4, or A.

8 0

3 years ago

A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the ne

Mamont248 [21]

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

4 0

3 years ago

125 < 28 + 72 + 6x < 200

Olin [163]

Answer:

The answer is 25/6 < x < 50/3

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

hoped this helped!

Brainly, please?

4 0

3 years ago