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2 years ago

Write a definition for the n^th term of sequence B

Mathematics

1 answer:

nlexa [21]2 years ago

6 0

Answer:

$a_{n} = 2n - 1$

Step-by-step explanation:

a = 1

d = 2

$a_{n} = a + (n - 1)d\\a_{n} = 1 + (n - 1)(2)\\a_{n} = 2n - 1$

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What are the first three terms of the sequence...plz help pt.1

svetlana [45]

$a_{n} \: = \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2} \\ = 2(a_{ 1})^{2} \\ = 2 \times {4}^{2} \\ = 32 \\ \\ a_{3} = \: 2(a_{3 - 1})^{2} \\ = 2(a_{ 2})^{2} \\ = 2 \times {32}^{2} \\ = 2 \times 1024 \\ = 2048$

so first 3 terms are

4, 32, 2048

8 0

4 years ago

Read 2 more answers

1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.

inessss [21]

let's notice the tickmarks on the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

the trapezoid has an altitude/height of 2 ft, thus

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6$

3 0

4 years ago

Trigonometry lesson. Find X and Y

noname [10]

Answer:

12 =x

20.78460969=y

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 60 = y /24

Multiply each side by 24

24 sin 60 = y/24*24

24 sin 60 =y

20.78460969=y

cos theta = adjacent side / hypotenuse

cos 60 = x /24

Multiply each side by 24

24*cos 60 = x/24*24

24 cos 60=x

12 =x

7 0

3 years ago

-7 opposite and absolute value

77julia77 [94]

It is 7 opposite is different and absolute value would be 7 also it is always positive

7 0

4 years ago

Read 2 more answers

228,227 what are the place value of all these numbers

lys-0071 [83]

Answer:

hundred thousand, ten thousand, thousand, hundreds, tens, and ones

Step-by-step explanation:

6 0

4 years ago