Question

How are arithmetic and geometric sequences similar?

Answer 1

1/ they are both sequences
2/ the second term = amount of the first term, and continues with the same rule for all terms
3/ I know just that. hihihi

Answer 2

A sequence is a set of numbers, called terms, for which each term is in some way related to the previous term. For example, in the arith sequence {4,8,12,16,20,...}, the second term is obtained by adding 4 to the first term, and this pattern repeats itself: the third term is obtained fromt he second term by adding 4 to the second term.

In the geometric sequence {4, 8, 16, 32, 64, ...}, the second term is obtained from the first by multiplying the first by 2, the "common factor." The third term is obtained from the second by multiplying the second term by 2, again; this '2' is called the "common ratio."

What can you say as you try to compare arithmetic and geometric sequences?