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B-27.

Examine each sequence below. State whether it is arithmetic, geometric, or neither. For the sequences that are arithmetic, find the formula for $t\left(n\right)$. For the sequences that are geometric, find the sequence generator for $t\left(n\right)$.

1.  $1, 4, 7, 10, 13, …$

1.  $0, 5, 12, 21, 32, …$

The sequence is neither arithmetic nor geometric.

1.  $2, 4, 8, 16, 32, …$

The sequence is geometric.

$r = 2$

1.  $5, 12, 19, 26, …$

Do the terms in the sequence increase by adding a constant amount or multiplying by a constant?

1.  $x, x + 1, x + 2, x + 3 …$

See part (d).

The sequence is arithmetic.

$d = 1$

1.  $3, 12, 48, 192, …$

See part (d).