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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