Question

please give me an example of an arithmetic and geometric sequence!!

Answer 1

Well first thing first, any idea what a sequence is?

Answer 2

um..... no..

Answer 3

Alright, a sequence basically means to follow. In mathematics refers to a `series` of terms in order. Where a series basically means "to join." So we should first know the difference between the terms `series and sequence`. In mathematics we define a `sequence` as a group of terms in a row as 2,4,6,8. Where a `series` is the sum of such sequences, 2+4+6+8. So putting in simplicity, a `series` is the sum of the `sequence`.
It's very important you understand the difference.

Answer 4

So now when we deal with arithmetic sequences, we are dealing with `arithmetic progression` it means a progression in which the `common difference` (d in this case) between any term and its predecessor is constant - called also arithmetic sequence.

So if \[t_2-t_1=t_3-t_2\] then it's arithmetic, so we can say \[t_2-t_1 = d\]

Answer 5

@i_need_help! Are you there?

Answer 6

So if I give you an example such as...determine the following sequence is arithmetic or geometric. (In this case arithmetic)

2, 4, 6, 8, 10, 12, 14...
\[t_2-t_1=t_3-t_2=d \implies 4-2=6-4=2 \implies d\]

I can continue but let me know if you're interested otherwise, I don't want to spend more time on this explaining.

Answer 7

im super sorry my laptop was updating all of the suddenly!