Question

Hello Guys .. Can You help me .. this is for my project in school .

can you give me example of arithmetic progration and geometric progration with its formula ...... please help me
because the deadline of our project is for tomorrow ..

thanks :)) lol

Answer 1

its progression right?

Answer 2

yah ..

Answer 3

no i mean its PROGRATION .. as in sequence !

Answer 4

A sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).
arithmetic progression

Answer 5

A progression of numbers with a constant ratio between each number and the one before (e.g. 1, 3, 9, 27, 81) this is geometric progression

Answer 6

give me an example of arith metic and geometric progression with its formula .. :))

Answer 7

a geometric sequence can be written as:

aq0=a, aq1=aq, aq2, q3, ... where q ≠ 0, q is the common ratio and a is a scale factor.

Formulae for the n-th term can be defined as:

an = an-1.q
an = a1.qn-1
The common ratio then is:

q =
ak
ak-1
A sequence with a common ratio of 2 and a scale factor of 1 is
1, 2, 4, 8, 16, 32...

A sequence with a common ratio of -1 and a scale factor of 5 is
5, -5, 5, -5, 5, -5,...

If the common ratio is:

Negative, the results will alternate between positive and negative.
Greater than 1, there will be exponential growth towards infinity (positive).
Less than -1, there will be exponential growth towards infinity (positive and negative).
Between 1 and -1, there will be exponential decay towards zero.
Zero, the results will remain at zero
Geometric Progression Properties

a2k = ak-1.ak+1
a1.an = a2.an-1 =...= ak.an-k+1
Formula for the sum of the first n numbers of a geometric series

Sn =
a1 - anq
1 - q
= a1.
1 - qn
1 - q
Infinite geometric series where |q| < 1


If |q| < 1 then an -> 0,
when n -> ∞.
The sum S of such an infinite geometric series is:

S = a1
1
1 - x
which is valid only for |x| < 1
and a1 is the first term.

Answer 8

Hello, @kimii ,
\(\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile\)

you can find formulas and an example in this link , try it...if you still need more examples,just ask.
http://openstudy.com/study#/updates/503bb2a0e4b007f9003103b0