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3 years ago

What is the 3rd term of a geometric sequence with a common ratio of 1/3 and a first term of 90

Mathematics

1 answer:

dangina [55]3 years ago

6 0

See below hope it helps

Answer: 90,30,10

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Generalize the pattern by finding the nth term.

Veseljchak [2.6K]

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_{n}=a_{0}+(n-1)d$

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

$a_{0}=6\\d=4$

Putting the value in general formula:

$a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\$

So the generalized pattern is 4n+2 ..

6 0

3 years ago

19. Determine the number of five-letter code words that can be formed from the word mommy.

bija089 [108]

Answer:

20 unique words

Step-by-step explanation:

mommy is a 5 letter word. So initially we would think there are 5! = 120 words to spell from here. however, If we are looking for unique solutions, we need to consider that there are 3 m's. the multinomial theorem says that we should divide by each group of duplicates so 5!/(3!1!1!) = 5!/3! = 20 unique words

7 0

2 years ago

When finding the equation of a linear function in a table how do I find y when x is 0?

sesenic [268]

U need to find the equation of the line....and once u do that, sub in 0 for x and solve for y

3 0

3 years ago

An analogy is a type of

vodomira [7]

Answer: literal language
hope this helps :)

3 0

2 years ago

PLEASE HELP! The LCM of 10 and 12 is ___.

slava [35]

Answer:

LCM of 12 and 10= 60

hope this helps <3

5 0

2 years ago