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3 years ago

Which expression describes the nth term of the arithmetic sequence 5, 9, 13, 17, ...?

Mathematics

1 answer:

denpristay [2]3 years ago

7 0

Answer:

4n + 1

Step-by-step explanation:

The first term is 5.

Each new term is 4 plus the previous term.

Term 1 = 5

Term 2 = 5 + 4

Term 3 = 5 + 4 + 4

Term 4 = 5 + 4 + 4 + 4

Notice that for each new term, you add one 4 less than the number of the term.

In term 1, you have 5 and no 4 added.

In term 2, you add one 4 to the 5.

In term 3, you add two 4's to the 5.

In term n, you add (n - 1) 4's to the 5.

Term n = 5 + (n - 1)4

Term n = 5 + 4n - 4

Term n = 4n + 1

Answer: 4n + 1

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What's the 25th term of 23,16,9,2

Doss [256]

Answer: –145 is the 25th term in this series where each term is 7 less than the preceding term.

Step-by-step explanation: Find the difference between the numbers given.

They are decreasing by 7.

The requested term is 25. Subtract -1 . = 24 (n-1)

Multiply 24 × -7 = -168

Add that to to first term

23 + (-168) = the 25th term

–145 is the 25th term in this series where each term is 7 less than the preceding term.

3 0

3 years ago

Choose the graph of the function g(x) = 2 x 4^x

dexar [7]

Answer:

its B

Step-by-step explanation:

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8 0

3 years ago

Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis

ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: $H_0:p=0.45 \\ H_a:p>0.45$

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α ∵0.025< 0.05

[if p-value< α , we reject $H_0$ ]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

3 0

4 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

Simplify: 3a2b + 5ab – 4ab + ab2 + 8a2b

Nataly [62]

Answer:

ab • (11a + b + 1) If its not im really sorry

Step-by-step explanation:

STEP one

(((((3•(a2))•b)+5ab)-4ab)+(a•(b2)))+(23a2•b)

STEP Two

((((3a2 • b) + 5ab) - 4ab) + ab2) + 23a2b

STEP 3

STEP 4

Pulling out like terms

4.1 Pull out like factors :

11a2b + ab2 + ab = ab • (11a + b + 1)

3 0

3 years ago

Read 2 more answers