# Sequences

Solve each equation for the variable:

1. Find the n-th term of the sequence (n ≥ 1) for the following sequence:

2. Find the n-th term of the sequence (n ≥ 1) for the following sequence:

3. Find the n-th term of the sequence (n ≥ 1) for the following sequence:

1, 9, 25, 49, 81...

4. Select the correct first four terms of the arithmetic sequence an, n ≥ 1, with a1 = 7 and common difference d = 2.

5. Select the correct first four terms of the arithmetic sequence an, n ≥ 1, with:

6. Find the common difference of the arithmetic sequence an, n ≥ 1, if a10 - a3 = 21.

7. Find the second term of the following geometric sequence:

a, b, 24, 36, 54.....

8. What is the n-th term of the geometric sequence an, n ≥ 1, if a1 = 2 and an+1 = 3an ?

9. an, n ≥ 1, is an arithmetic sequence, and bn, n ≥ 1, is a geometric sequence:

an: 2, 4, 6, 8...
bn: 2, 4, 8, 16...

cn is a sequence that results by multiplying the terms of an and bn: cn= an·bn.

Calculate n, if cn = 2048n.

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