A) B) C) D) 0 + 1 + 2 + 3 + ... + n A) B) C) D) 0 + 1 + 2 + 3 + ... + n

A) 1,147 B) 1,116 C) 1,224.5 D) 1,333 A) 1,147 B) 1,116 C) 1,224.5 D) 1,333

Exam 9: Sequences; Induction; the Binomial Theorem

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -{4n - 3}

(Multiple Choice)

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Question 221

A geometric sequence is given. Find the common ratio and write out the first four terms. -

(Multiple Choice)

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Question 222

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 3; r = 2

(Multiple Choice)

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Question 223

The sequence is defined recursively. Write the first four terms. -

(Multiple Choice)

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Question 224

Express the sum using summation notation. -

(Multiple Choice)

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Question 225

Find the sum of the sequence. -

(Multiple Choice)

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Question 226

Find the indicated term of the sequence. -The tenth term of the arithmetic sequence 7 , 4 , 1 , ...

(Multiple Choice)

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Question 227

An arithmetic sequence is given. Find the common difference and write out the first four terms. -{8 - 4n}

(Multiple Choice)

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Question 228

Express the sum using summation notation. -

(Multiple Choice)

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Question 229

Write the word or phrase that best completes each statement or answers the question. -Karen has a balance of $1000 on a department store credit card that charges 1.5% interest per month onany unpaid balance. She can afford to pay $150 toward the balance each month. Her balance each month,after making a $150 payment, is given by the recursively defined sequence Determine Karenʹs balance after making the first payment. That is, determine

(Essay)

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Question 230

Solve. -Lonnie deposits $150 each month into an account paying annual interest of 7% compounded monthly.How much will his account have in it at the end of 14 years?

(Multiple Choice)

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Question 231

Write out the sum. -

(Multiple Choice)

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Question 232

Find the sum. -

(Multiple Choice)

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Question 233

Write the word or phrase that best completes each statement or answers the question. -You deposit $150 each 6 months into an annuity with an annual interest rate of 13.5%, compoundedsemiannually.a)What is the balance after 20 years?b)What is the balance after 40 years?

(Essay)

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Question 234

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

(Multiple Choice)

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Question 235

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -2, -4, 6, -8, ...

(Multiple Choice)

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Question 236

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -17 + 21 + 23 + 25 + ...

(Multiple Choice)

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Question 237

Solve. -As Sunee improves her algebra skills, she takes 0.9 times as long to complete each homework assignmentas she took to complete the preceeding assignment. If it took her 55 minutes to complete her firstassignment, find how long it took her to complete the fifth assignment. Find the total time she took tocomplete her first five homework assignments. (Round to the nearest minute.)

(Multiple Choice)

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Question 238

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -

(Multiple Choice)

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Question 239

The sequence is defined recursively. Write the first four terms. -

(Multiple Choice)

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Question 240

Showing 221 - 240 of 242

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -{4n - 3}

A geometric sequence is given. Find the common ratio and write out the first four terms. -

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 3; r = 2

The sequence is defined recursively. Write the first four terms. -

Express the sum using summation notation. -

Find the sum of the sequence. -

Find the indicated term of the sequence. -The tenth term of the arithmetic sequence 7 , 4 , 1 , ...

An arithmetic sequence is given. Find the common difference and write out the first four terms. -{8 - 4n}

Express the sum using summation notation. -

Solve. -Lonnie deposits $150 each month into an account paying annual interest of 7% compounded monthly.How much will his account have in it at the end of 14 years?

Write out the sum. -

Find the sum. -

Write the word or phrase that best completes each statement or answers the question. -You deposit $150 each 6 months into an annuity with an annual interest rate of 13.5%, compoundedsemiannually.a)What is the balance after 20 years?b)What is the balance after 40 years?

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -2, -4, 6, -8, ...

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -17 + 21 + 23 + 25 + ...

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -

The sequence is defined recursively. Write the first four terms. -

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