# Pre- Calculus: Solving Arithmetic and Geometric Sequences, Mathematical Induction and Binomial Theorem.

**Culbert**

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Miami Dade College

Chapter 13 Test

December 9, 2013

1.

Write down the first six terms of the sequence .

2.

Find the sum of

3.

Find the 80th term of the arithmetic sequence

4.

Find the first term and the common difference of the arithmetic sequence whose 7th term

is 31 and 20th term is 96. Find the sum of the first 120 terms of this sequence.

5.

Find the fifth term and the n-th term of the geometric sequence whose first term is –2 and

common ratio is 4.

6.

7.

Find the n-th term of the geometric sequence

Find the sum of the first 10 terms in the geometric sequence 5, 10, 20, 40, …

8.

Find the sum of the geometric sequence with first term 1 and common ratio.

9.

Use the Principle of Mathematical Induction to show that the given statement is true for

all natural numbers.

10.

Expand the expression using the Binomial Theorem.

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### Miami Dade College Chapter 13 Test

NOT RATEDMiami Dade College

Chapter 13 Test

December 9, 2013

1.

Write down the first six terms of the sequence .

2.

Find the sum of

3.

Find the 80th term of the arithmetic sequence

4.

Find the first …7 years ago### Miami Dade College Chapter 13 Test

NOT RATEDMiami Dade College

Chapter 13 Test

December 9, 2013

1.

Write down the first six terms of the sequence .

2.

Find the sum of

3.

Find the 80th term of the arithmetic sequence

4.

Find the first term and …6 years ago