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3 years ago

F(n) = 4(n-1) + 7fine the first three(3) terms in the sequence show all work

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

........................................

lubasha [3.4K]3 years ago

4 0

Answer:

f(n) = 4(n-1) + 7

First term

f(1) = 4(1-1) +7 = 0 + 7 = 7

Second term

f(2) = 4(2-1) + 7

= 4(1) + 7 = 4 + 7 =11

Third term

f(3) = 4(3-1) + 7

= 4(2) + 7

= 8 + 7 = 15

Therefore the first three terms of the sequence are 7, 11 and 15.

Hope this helps

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How do you rewrite 6^4×6^4 as a single power?

tensa zangetsu [6.8K]

Answer:

6^8

Step-by-step explanation:

6^4 * 6^4

We know that a^b* a^c = a^(b+c)

6^4×6^4 = 6^(4+4) = 6^8

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3 years ago

Read 2 more answers

An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles

Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

$x+y=90$ ----> equation A

we have that

$x=y-10$ ----> equation B

Substitute equation B in equation A and solve for y

$(y-10)+y=90\\2y-10=90\\2y=100\\y=50$

Find the value of x

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therefore

The measure of the angles are 40 degrees and 50 degrees

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3 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

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3 years ago

If I had a large square with 12 small squares shaded what percentage of the square is shaded

zhuklara [117]

<span>12% = 12 percent = 12 parts out of 100 = 12/100</span>

<span>i hope thin helped
</span>

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3 years ago

Best has knitted 5/8 of the scarf she is making has she needed more than one half of the scarf can't find the equivalent fractio

BabaBlast [244]

To compare 5/8 and 1/2, you will need to create fractions that have the same denominator. 1/2 is the same as 4/8.

5/8 is greater than 4/8, so she had knitted more than 1/2.

4 0

3 years ago

F(n) = 4(n-1) + 7fine the first three(3) terms in the sequence show all work​

F(n) = 4(n-1) + 7fine the first three(3) terms in the sequence show all work