11 terms

What does an arithmetic sequence have?

A common diffrence wether posotive or negative

Always adding (even if a negative number)

Always adding (even if a negative number)

For finding "nth" term in Arithmetic sequnce formula is?

an=a1 + (n-1)d where d is the common diffrence

What is the senes formula for an arithmetic sequence?

Sn= n/2 * (a1/an)

What is a geometiric sequence

A sequence where the numbers are multiplied by the same thing every time

For findig the "nth term in a goemetric sequence formula is?

an= a1 * r^ (n-1)

What is the Sn formula for a geometric sequence?

Sn= a1 * [ (1- r^n) / (1-r) ]

What is the infinity S formua for goemetric sequence?

S infinity= a1/ (1-r); if IrI < 1

What is step one

Show true for n=1

What is step two

Assume true for n=k

What is step three

Show true for n= k+1

What is step four

It has been shown to be true by inductice proofs