Help if correct will give brainless

Given the recursive formula below, what are the first 4 terms of the sequence?

ANEK [815]

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

$f(n) = f(n - 1) - 2 \\ f1 = 17 \\$

we can deduce the next three terms as follows:
$f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\$
$f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\$
$f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\$
Hence the sequence is; 17, 15, 13, 11,...

4 0

2 years ago

I'll mark brainliest just tell me how to.

IRINA_888 [86]

Answer:

a = 12

b = 2

c = 11

Step-by-step explanation:

$\frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}$

3 0

3 years ago

Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,

kicyunya [14]

Answer:

E. 7/40

Step-by-step explanation:

The following probabilities are given:

P (Alice Wins) = 1/5

P (Benj. Wins) = 3/8

P (Carol Wins) = 2/7

We can deduce the probabilities for losses:

P (Alice Loses) = 1 - P (Alice Wins) = 1 - 1/5 =4/5

P (Benj. Loses) = 1 - P (Benj. Wins) = 1 - 3/8 = 5/8

P (Carol Loses) = 1 - P (Carol Wins) = 1 - 2/7 =5/7

The possible outcomes that two players win and one player loses are as follows:

Alice Wins, Benj Wins, Carol Loses

Alice Loses, Benj Wins, Carol Wins

Alice Wins, Benj Loses, Carol Wins

We can compute the probabilities of each of the 3 outcomes above:

P(Alice Wins, Benj Wins, Carol Loses) = (1/5) x (3/8) x (5/7) = 3/56

Alice Loses, Benj Wins, Carol Wins = (4/5) x (3/8) x (2/7) = 3/35

Alice Wins, Benj Loses, Carol Wins = (1/5) x (5/8) x (2/7) = 2/56

P ( 2 wins and 1 loss)

= 3/56 + 3/35 + 2/56

= 343 / 1960

= 7/40

7 0

3 years ago

Read 2 more answers

If a = 5 and b = 7, what is the measure of ∠A? (round to the nearest tenth of a degree)

nirvana33 [79]

With assumptions about it being a *right* triangle and a and b being the legs, the answer is:

B) 35.5°

7 0

4 years ago

Read 2 more answers

What is the equation that has a slope of -4 and passes through the coordinates (-4,14)

Agata [3.3K]

Answer:

y=-4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-14=-4(x-(-4))

y-14=-4(x+4)

y=-4x-16+14

y=-4x-2

4 0

3 years ago