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2 years ago

If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).

Mathematics

1 answer:

FrozenT [24]2 years ago

4 0

Answer:

218

Step-by-step explanation:

Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,

f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8

f(3) = 5(8) + 3 = 40 + 3 = 43

f(4) = 5(43) + 3 = 215 + 3 = 218

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Determine the number of ways she can arrange her daily schedule.

natita [175]

Answer:

This can be found by using the permutations and combinations formuals.

Combinations being the C equation and Permutations being the P equation.

$P(n,r)=\frac{6!}{(6-6)!}=720$

Explanation:

A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).

3 0

2 years ago

Simplify (-5i)+(5-1)+6

Liono4ka [1.6K]

Hi there

-5i + 5-1 + 6

= -5i + 11- 1

= 5i + 10

That's the answer :0

I hope that's help... Do you have any question ?

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3 years ago

The formula for any geometric sequence is an = a1 · rn - 1 , where a n represents the value of the n th term, a1 represents the

const2013 [10]

Answer:

an = -3·2^(n-1)

Step-by-step explanation:

The first term is a1 = -3.

The common ratio is r = -6/-3 = 2.

The given formula tells you the formula for this sequence is ...

an = -3·2^(n-1)

3 0

2 years ago

The blue portion of the American flag is known as the union. Using the measurements in the diagram, determine if the rectangle e

Nonamiya [84]

They are not similar.

The dimensions of the Union are 3'x5'.

The dimensions of the overall flag are 9-1/2'x5'.

Hope this helps ^^

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2 years ago

At eastwood middle school, 25% of the 60 sudents mrs. Wade teaches buy their lunches in the cafetria. How many students purchase

abruzzese [7]

Answer:

15 students purchase their lunches in the cafeteria.

Step-by-step explanation:

Given:

At eastwood middle school, 25% of the 60 students Mrs. Wade teaches buy their lunches in the cafeteria.

Now, to find the students purchase their lunches in the cafeteria.

Total students = 60.

Percent of students who buy lunches = 25%.

So, to get the number of students who buy their lunches in the cafeteria:

25% of 60.

$=\frac{25}{100} \times 60$

$=0.25\times 60$

$=15.$

Therefore, 15 students purchase their lunches in the cafeteria.

3 0

3 years ago