Chapter 4- Sequences And Series Flashcards
Formula for arithmetic sequence. The nth term in a sequence is given by…
Tn= a +(n-1)d
a- first term
d- common difference
Sum of an arithmetic sequence is given by…
Given that the first term, last term and the number of terms are given
Sn= n/2 (a+l)
n-number of terms
a-first term
L-last term
d-common difference
Sum of a series given the number of terms, the first term and the common difference…
Sn= n/2 (2a + (n-1)d)
N- number of terms
A- first term
D- common difference
Geometric sequence given the first term and the common ratio…
Tn= ar^n-1
n- nth term
a- first term
r- common ratio
The geometric sum is…
Sn= (a(r^n -1)) / r-1
Sum to infinity given the first term and the common ratio is
a/(1-r)