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

You might be interested in

What is the area of this figure?

umka21 [38]

137.5 I took the test and got 100%

3 0

2 years ago

Read 2 more answers

An annoyed teacher asked her student to do the following: (1) Start with the number 12. Go to step (2). (2) Take the negative of

dedylja [7]

Answer:

Step-by-step explanation:

// 12

// -12

//-11

//88

8 0

2 years ago

An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr

Advocard [28]

Answer:

Value of the test statistic, $z_{test} = - 1.17$

Step-by-step explanation:

Null hypothesis, $H_{0}: \mu = 53.9$

Alternative hypothesis, $H_{a} : \mu \neq 53.9$

Sample mean, $\bar{X} = 53.7$

Sample size, n = 110

Standard deviation, $\sigma = 1.8$

Significance level, $\alpha = 0.02$

The value of the test statistics is given by the formula:

$z_{test} = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test} = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test} = - 1.17$

7 0

2 years ago

Angles H and F are corresponding angles<br> True or False?

lutik1710 [3]

True! they are corresponding angles.

5 0

1 year ago

Read 2 more answers

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used

Andrews [41]

Answer:

the set must have a constant additive rate of change. the set must have a multiplicative rate of change.

Step-by-step explanation:

4 0

2 years ago