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Sequences

Sequences

Example 1

A geometric sequence has a1 = 1 and r = 2. Find the first four terms of the sequence.

Example 2

A geometric sequence has a1 = 5 and r = 2. Find

(a) a2

(b) a3

(c) a4

(d) an

Example 3

A geometric sequence has a = 2 and r = 10. Find a5.

Example 4

A geometric sequence has a9 = 40 and a10 = 80. Find a and r.

Example 5

Find a and r for the geometric sequence with a8 = -0.78125 and a9 = 0.390625.

Example 6

Find a and r for the geometric sequence with a5 = 81 and a9 = 410.0625.

Example 7

Find a and r for the geometric sequence with a5 = 6.561 and a8 = 4.782969.

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