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

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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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