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Aleks [24]
3 years ago
7

Find the first four terms of the sequence using the recursive formula. ​

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

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Answer:

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3 years ago
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Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third
Salsk061 [2.6K]

The number of ways she can choose a password is 3986236800

<h3>In how many ways can she choose a password?</h3>

The given parameters and the possible selection of characters are:

First and last choices are possibly repeated lowercase letters;

There are 26 lower characters.

Since the characters can be repeated, then we have

First = 26

Last = 26

The second and third positions must be distinct uppercase letters

There are 26 upper characters.

Since the characters are distinct, then we have

Second = 26

Third = 25

The fourth position must be a # , $, or & symbol;

So, we have

Fourth = 3

The next four positions are distinct nonzero digits.

There are 9 nonzero digits.

Since the digits are distinct, then we have

Next = 9, 8, 7, 6

The number of ways she can choose a password is

Ways = First * Second * Third * Fourth * Next * Last

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Ways = 26 * 26 * 25 * 3 * 9 * 8 * 7 * 6 * 26

Evaluate the product

Ways = 3986236800

Hence, the number of ways she can choose a password is 3986236800

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4 0
2 years ago
A triangular prism with an equilateral triangle as its base has a volume of 64.98 cubic centimeters, a base area of 10.83 square
Zarrin [17]

Answer:

200

Step-by-step explanation:

8 0
3 years ago
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar
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Answer:

(a) 896

(b) 1000

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Number of men = 6

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Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

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Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

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6 0
4 years ago
Of the 216 students on the playground three-eighths are wearing white shoes how many children on the playground are not wearing
natka813 [3]
If 3/8 ARE wearing white schoes
Then 5/8 AREN'T wearing white shoes 
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You can cancel the 216 by 8 because the denominator of 5/8 is 8 to make 27

Therefore, the answer is 135

4 0
3 years ago
Read 2 more answers
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