Geometric Sequences and Series
SUM OF TERMS
Arithmetic Sequences
SUM OF TERMS
Geometric Sequences
__________
To get next term
__________
To get next term
Arithmetic Series
_______________
Geometric Series
_______________
VOCAB OF SEQUENCES
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
nth term of geometric sequence –
sum of n terms of geometric sequence –
9
2
Find the next three terms of 2, 3, , _____, _____, _____
1
2
2
3
If 𝑎1 = , r= , find 𝑎9 . Then find 𝑆9 .
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
Find 𝑎2 − 𝑎4 , if 𝑎1 = -3 and r =
2
3
-3, _____, _____, _____
Find 𝑎9 of √2, 2, 2√2…
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
If 𝑎5 = 32√2 and r = -√2, find 𝑎2 .
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
1 1 1
2 4 8
Find 𝑆7 of , , …
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
Find two geometric means between –2 and 54
-2, _____, _____, 54
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
The two geometric means are _____ and _____since -2, _____, _____, 54 forms a geometric sequence.
1
Find one geometric mean between 4 and 4
1
, _____,4
4
𝑎1 −
𝑎𝑛 –
n–
𝑆𝑛 −
r–
1
1
1
One geometric mean between 4 and 4 is ______ or _____, since 4 , _____,4 or 4 , _____,4 both form a
geometric sequence