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3 years ago

Literel equations are hard hellpppp!

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer is: t = 5 + bn

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

3 years ago

love history [14]

Answer:

B. x < -1

Step-by-step explanation:

Hello!

Let's put them in order from greatest to least:

$\{-2,-5,-9,-12\}$

Given our possible inequalities, we need to find the inequality that contains all of these values.

The inequality that works is x < -1, as <u>all values are less than -1.</u>

Therefore, the answer is B. x < -1.

4 0

2 years ago

What factors of 20 go into 50

xenn [34]

1...2...5...10 are the factors of 20 that go into 50.

5 0

3 years ago

Plz help idk what I’m doing wrong

Tema [17]

HH HC HT

CH CC CT

TH TC TT

7 0

3 years ago

Read 2 more answers

The polygon circumscribes a circle. What is the perimeter of the polygon?

Nina [5.8K]

Answer:

68 cm

Step-by-step explanation:

Using the concept of tangents drawn from external point to a circle are congruent, we can find the Perimeter of polygon.

$Perimeter of polygon \\ = 2 \times 5 + 2 \times 6 + 2 \times 8 + 2 \times 15 \\ = 10 + 12 + 16 + 30 \\ = 68 \: cm \\$

6 0

3 years ago

Literel equations are hard hellpppp!​

Literel equations are hard hellpppp!