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Geometric Series
Geometric Series An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
Geometric Series An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
Geometric Series
a
Tr 2
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
Geometric Series
a
Tr 2
2
3
T
T
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
Geometric Series
a
Tr 2
2
3
T
T
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
Geometric Series
a
Tr 2
2
3
T
T
aT 1
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
Geometric Series
a
Tr 2
2
3
T
T
aT 1
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 2
Geometric Series
a
Tr 2
2
3
T
T
aT 1
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT
Geometric Series
a
Tr 2
2
3
T
T
aT 1
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
4,2 ra
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
1 n
n arT 4,2 ra
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
1 n
n arT
142
n
4,2 ra
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
1 n
n arT
142
n
22
12
22
22
n
n
4,2 ra
Geometric Series
a
Tr 2
2
3
T
T
aT 1
32, 8, 2, of termgeneral theand Find .. rige
4,2 ra
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a constant amount to the previous
term.
The constant amount is called the common ratio, symbolised, r.
1
n
n
T
Tr
arT 22
3 arT 1 n
n arT
1 n
n arT
142
n
22
12
22
22
n
n 122 n
nT
rTTii find ,49 and 7 If 42
rTTii find ,49 and 7 If 42
7ar
rTTii find ,49 and 7 If 42
7ar493 ar
rTTii find ,49 and 7 If 42
7ar493 ar
72 r
rTTii find ,49 and 7 If 42
7ar493 ar
72 r
7r
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
493 ar
72 r
7r
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
493 ar
72 r
7r
4,1 ra
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
493 ar
72 r
7r
4,1 ra 141
n
nT
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
493 ar
72 r
7r
4,1 ra 141
n
nT
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
493 ar
72 r
7r
4,1 ra 141
n
nT
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
493 ar
72 r
7r
4,1 ra 141
n
nT
500log4log 1 n
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
500log4log1 n
493 ar
72 r
7r
4,1 ra 141
n
nT
500log4log 1 n
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
500log4log1 n
48.5
48.41
n
n
493 ar
72 r
7r
4,1 ra 141
n
nT
500log4log 1 n
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
500log4log1 n
48.5
48.41
n
n
500 first term theis ,10246 T
493 ar
72 r
7r
4,1 ra 141
n
nT
500log4log 1 n
rTTii find ,49 and 7 If 42
7ar
(iii) find the first term of 1, 4, 16, … to
be greater than 500.
500nT
5004 1 n
500log4log1 n
48.5
48.41
n
n
500 first term theis ,10246 T
Exercise 6E; 1be, 2cf, 3ad, 5ac, 6c, 8bd, 9ac, 10ac, 15, 17,
18ab, 20a
493 ar
72 r
7r
4,1 ra 141
n
nT
500log4log 1 n
