Precalculus Unit 7 Lessons

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

An initial investment of $1,500 was made in the first month. In the second month, $1,507 was invested, while in the third month, the investment increased to $1,514. The monthly investments then continued using this arithmetic progression. How much was the portfolio worth after 60 months?

$102,390

Sheena put $75 down on a new refrigerator. She paid the remaining balance in 18 monthly installments starting with $42.50 in the first month, and then increasing the payments by $10 each month. If the installment plan charged no interest, what is the total amount Sheena paid for the refrigerator at the end of the 18 months?

$2,370

Expand the binomial using Pascal's Triangle for the coefficients. Simplify. (x-4)4

(X-4)^4 = x^4 - 16x^3 + 96x^2 - 256x + 256

Expand the binomial using Pascal's Triangle for the coefficients. Simplify. (x+4)4

(x+4)^4 = x^4 + 16x^3 + 96X^2 +256X + 256

Expand the binomial using Pascal's Triangle for the coefficients. Simplify. (x+a)2

(x+a)^2 = x^2 + 2xa + a^2

Find the missing terms of the geometric sequence.

-3, -6, -12, -24, -48

Find the indicated term of the arithmetic sequence. [2,-5,-12,-19,-26,...] a13 = 13th term

-82

Find the first five terms of the sequence beginning with n=0. an=n2/n!

0,1,2,1 1/2, 2/3

Find the coefficient for the term. y5

1

Find the indicated term of the geometric sequence. [1,4,16,64,...] Find the 6th term

1,024

Find the first five terms of the sequence beginning with n=0. an=(n+1)!/n!

1,2,3,4,5

Find the sum of the finite series. [6+12+18+24+...+126]

1,386

Find the coefficient for the term. x3y2

10

Find the sum of the finite geometric series. [1+3+9+27+81]

121

Find the coefficient for the term. x2y4

15

Find the sum of the finite geometric series. [3+6+12+24+48+96]

189

Solve the factorial expression. 12!/3!⋅11!

2

Use a graphing calculator to find the indicated term of the sequence. [3,9,27,...] 7th term

2,187

Find the first five terms of the sequence beginning with n=0. an=(n+2)!

2,6,24,120,720

Find the missing term, use the formula an = a(n-2) + a(n-1). 10th term = 34, 8th term = 13 Find the 9th term.

21

Solve the factorial expression. 3!⋅10!/4!⋅8!

22.5

Given terms in the Fibonacci sequence, use the formula an = a(n-2) + a(n-1) Find the next term. Use a calculator if needed. 12th term = 89, 13th term = 144, 15th term = 377 Find the 14th term.

233

Find the sum of the finite arithmetic series. [1+4+7+10+...+40]

287

Find the coefficient for the term. x2y

3

Choose the correct numbers on the blanks in the Pascal's Triangle.

3 5 21

Find the value of the convergent series: [4+(-1)+1/4+(-1/16)+1/64+...]

3 1/5

∑4*0.5^n

3.875

Solve the factorial expression. 8!/5!

336

Given terms in the Fibonacci sequence, use the formula an = a(n-2) + a(n-1) Find the next term. Use a calculator if needed. 7th term = 8, 8th term = 13, 9th term = 21 Find the 10th term.

34

Find the indicated term of the arithmetic sequence. [5,8,11,14,17,...] a11 = 11th term

35

Use a graphing calculator to find the value of the factorial. 9!

362,880

Find the sum of the finite arithmetic series.[-2+4+10+16+...+64]

372

Find the missing term, use the formula an = a(n-2) + a(n-1). 14th term = 233, 16th term = 610 Find the 15th term.

377

Find the value of the convergent series: [2+1+12+14+18+...]

4

∑(1/2n+6)

46 1/2

Use a graphing calculator to find the value of the factorial. 12!

479,001,600

∑16*(3/4)^n

48

Use a graphing calculator to find the value of the factorial. 13!

6,227,020,800

Find the indicated term of the arithmetic sequence. [-11,-8,-5,-2,1,...] a25 = 25th term

61

Find the number of trailing zeros. Use a calculator to help with division. 2,523!

628

Find the sum of the finite series. [-7+(-4)+(-1)+2+...+62]

660

Riley was determined to be on the basketball team. He started practicing for 40 minutes on the first day, and then increased his practice time by 20 minutes on each subsequent day. With that pattern, how many total minutes will he have practiced in 25 days?

7,000 minutes

Find the indicated term of the geometric sequence. [2,8,32,128,...] Find the 7th term

8,192

Find the sum of the finite geometric series. [(-4)+12+(-36)+108]

80

Find the indicated term of the arithmetic sequence. [-7,-2,3,8,13,...] a20 = 20th term

88

Find the sum of the finite series. [5+10+15+20+...+95]

950

Use a graphing calculator to find the indicated term of the sequence. [6,12,24,...] 5th term

96

Given terms in the Fibonacci sequence, use the formula an = a(n-2) + a(n-1) Find the next term. Use a calculator if needed. Previous two terms are 377 and 610, Find the 17th term.

987

Find the specific formula for the sequence. [5,3,-2,7,1,...]

Cannot be done since the difference "d" is not constant through the sequence.

_____ are the result of positive consecutive numbers being multiplied together.

Factorials

Decide on Yes if the sequence is part of the Fibonacci sequence or No if it is not. {1,2,3,7,8}

NO

_____ means follow one after another.

Order

Use the table to help find a formula for the sequence. Write the formula in the parentheses next to the word Rule and complete the Rule column.

Term(Value) - Rule a.(a.) 1 - h 4 - b 7 - i 10 - c 13 -g

Use the table to help find a formula for the sequence. Write the formula in the parentheses next to the word Rule and complete the Rule column.

Term(Value) - Rule a.(c.) 0 - d 3 - h 8 - f 15 - e 24 -g

Use the table to help find a formula for the sequence. Write the formula in the parentheses next to the word Rule and complete the Rule column.

Term(Value) - Rule a.(c.) 6 - h 7 - i 8 - f 9 - a 10 -e

Decide on Yes if the sequence is part of the Fibonacci sequence or No if it is not. {3,5,8,13,21}

YES

Decide on Yes if the sequence is part of the Fibonacci sequence or No if it is not. {8,13,21,34}

YES

Define limit:

a boundary beyond which you cannot go

Find the first five terms of the sequence: an = 2n-4

a1 = a a2 = c a3 = g a4 = k a5 = h Write the terms in sequence H

Find the first five terms of the sequence: an =(-2)n

a1 = b a2 = k a3 = h a4 = f a5 = c Write the terms in sequence E

Find the first three terms of the sequence: an = 9/n

a1 = c a2 = e a3 = b

Find the first five terms of the sequence: an = n^2-3

a1 = e a2 = a a3 = b a4 = i a5 = j Write the terms in sequence K

Find the first three terms of the sequence: an = 3n^2-5

a1 = f a2 = d a3 = e

Find the first five terms of the sequence: an =n/n+1

a1 = j a2 = h a3 = i a4 = k a5 = e Write the terms in sequence B

Find the specific formula for the sequence. [12,1,112,2,212,...]

an=1/2n

Find the specific formula for the sequence. [3,7,11,15,19,...]

an=4n-1

Find the specific formula for the sequence. [-6,-1,4,9,14,...]

an=5n-11

Define convergent:

approaching a limit

Find the partial terms that are missing. Use the binomial theorem to find each coefficient. (x+y)8

b. d.

Decide whether the sequence is convergent or divergent: [1,12,14,18,116,...]

convergent

Decide whether the sequence is convergent or divergent: [5,2.5,1.25,0.625,0.3125,...]

convergent

Use the ratio test. Determine whether it converges or diverges. [3+1.5+0.75+0.375+...]

converges

Use the ratio test. Determine whether it converges or diverges. [4+1+1/4+1/16+1/64+...]

converges

Find the partial terms that are missing. Use the binomial theorem to find each coefficient. (x+y)7

d. a.

Decide whether the sequence is convergent or divergent: [4,6,8,10,12,...]

divergent

Use the ratio test. Determine whether it converges or diverges. [3+12+48+192+768+...]

diverges

Define infinite:

having an unlimited amount or number

The symbol for n factorial is _____.

n!

Define divergent:

not approaching a limit

The letter, n, stands for the _____ of a term in a sequence.

position

What is the formula for the ratio test of an infinite geometric series?

r = lim an+1/an

A Fibonacci sequence is a _____ sequence.

recursive

A _____ is an orderly collection of terms.

sequence

What is the formula for finding the value of a convergent infinite geometric series?

s∞ = a1/1-r

In a Fibonacci sequence, you add the previous _____ numbers to get the next one.

two

Expand the binomial using Pascal's Triangle for the coefficients. Simplify. (x-3)3

x-3^3 = x^3 - 9x^2 + 27x -27


Kaugnay na mga set ng pag-aaral

Sociology ch 8 inquizitive & Review Quiz

View Set

Spring 2016 Chapter 19 Cardiovascular System:Blood Vessels HCC A & P II

View Set

CRA conflict of interest and Bioethics

View Set

A&P one- Mcampbell- unit 3 smartbook 11

View Set

Chapter 38 Vehicle Extrication and Special Rescue quiz

View Set

The Sympathetic and Parasympathetic Nervous Systems

View Set

bowel, ATI: Urinary & Bowel Elimination, Fundamentals of Nursing chapter 38, funds chap 38, Bowel sound P.U., Ch 38 Bowel Elimination, Chapter 38: Bowel Elimination, Ch 38 Bowel Elimination taylor NCLEX, PrepU Ch38 Bowel Elimination, Chapter 38: Bowe...

View Set

development part 1 practice questions

View Set