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2 years ago

Which explicit formula describes the sequenceuse the picture for the full question

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

A. aₙ = (2/7)ⁿ⁻¹

Step-by-step explanation:

According to sequence we observe:

the first term is a₁ = 1
the common ratio is r = 2/7

Equation of nth term of GP:

aₙ = a₁r°⁻¹

Substitute to get:

aₙ = 1*(2/7)ⁿ⁻¹ = (2/7)ⁿ⁻¹

Correct choice is A

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Order the expressions from least to greatest. √63 √50 √49

balandron [24]

1st √49=7

2nd√50=7.07

3rd√63=7.94 (rounded)

4 0

3 years ago

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Nb gn njjrndndnfnfjdjfjfi

WARRIOR [948]

Answer:

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3 years ago

Guys please help me out ASAP, Due today. I

Mice21 [21]

Answer:

$T_7 = 11$

$T_n = 2n- 3$

Step-by-step explanation:

Given

$S_n = n^2 -2n$

$T_n = S_n - S_{n-1}$

Solving (a): T7

Substitute 7 for n in $T_n = S_n - S_{n-1}$

$T_7 = S_7 - S_{7-1}$

$T_7 = S_7 - S_6$

Calculate S7 and S6

$S_n = n^2 -2n$

$S_7 = 7^2 - 2 * 7 = 35$

$S_6 = 6^2 - 2 * 6 = 24$

So:

$T_7 = 35 -24$

$T_7 = 11$

Solving (b): Tn

$T_n = S_n - S_{n-1}$

Where $S_n = n^2 -2n$

Calculate $S_{n-1}$

We have:

$S_{n-1} =(n-1)^2 - 2(n-1)$

Open brackets

$S_{n-1} = n^2 -2n + 1 -2n +2$

$S_{n-1} = n^2 -2n-2n + 1 +2$

$S_{n-1} = n^2 -4n + 3$

So:

$T_n = S_n - S_{n-1}$

$T_n = n^2 - 2n - (n^2 -4n + 3)$

$T_n = n^2 - 2n - n^2 +4n - 3$

Collect Like Terms

$T_n = n^2 - n^2- 2n +4n - 3$

$T_n = 2n- 3$

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3 years ago

Jack usually mows his lawn in 6 hours. marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the

Anuta_ua [19.1K]

Answer:

2.4 hours or 2 hours and 24 minutes

Step-by-step explanation:

Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

$R = \frac{1}{6}+ \frac{1}{4}\\R=\frac{10}{24}$

The time required for them to mow the entire lawn is:

$t = \frac{1}{R}\\t = \frac{1*24}{10}\\ t=2.4\ hours$

It would take them both 2.4 hours to mow the lawn together.

5 0

3 years ago

BRIANILEST!!!!Which lines are parallel? Check all that apply.

spin [16.1K]

Answer:

b║f

c║e

Step-by-step explanation:

Given a diagram,

Lines b, c, d, e, f and a transversal line 'a'.

Here line 'b' makes an angle with line 'a' is 89.5° and line 'f' makes an angle with line 'a' is also 89.5° (180°-90.5° = 89.5°)

Since corresponding angles are same.

So, line 'b' is parallel to line 'f'.

And line 'c' makes an angle with line 'a' is 91.5° and line 'e' makes an angle with line 'a' is also 91.5° (180°-88.5° = 91.5°)

Since corresponding angles are same.

So, line 'c' is parallel to line 'e'.

Therefore,

b║f

c║e

That's the final answer.

4 0

4 years ago

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Which explicit formula describes the sequenceuse the picture for the full question​

Which explicit formula describes the sequenceuse the picture for the full question