11x1 t10 02 geometric series
TRANSCRIPT
Geometric Series
Geometric SeriesAn 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 SeriesAn 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
aTr 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
aTr 2
2
3
TT
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
aTr 2
2
3
TT
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
TTr
Geometric Series
aTr 2
2
3
TT
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
TTr
Geometric Series
aTr 2
2
3
TT
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
TTr
arT 2
Geometric Series
aTr 2
2
3
TT
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
TTr
arT 22
3 arT
Geometric Series
aTr 2
2
3
TT
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
TTr
arT 22
3 arT 1 n
n arT
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. 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
TTr
arT 22
3 arT 1 n
n arT
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige4,2 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
TTr
arT 22
3 arT 1 n
n arT
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. 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
TTr
arT 22
3 arT 1 n
n arT
1 nn arT 4,2 ra
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. 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
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
4,2 ra
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. 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
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
22
12
22
22
n
n
4,2 ra
Geometric Series
aTr 2
2
3
TT
aT 1
32,8,2,oftermgeneral theandFind.. rige4,2 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
TTr
arT 22
3 arT 1 n
n arT
1 nn arT
142 n
22
12
22
22
n
n 122 nnT
rTTii find,49 and 7If 42
rTTii find,49 and 7If 42 7ar
rTTii find,49 and 7If 42 7ar493 ar
rTTii find,49 and 7If 42 7ar493 ar
72 r
rTTii find,49 and 7If 42 7ar493 ar
72 r7r
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
4,1 ra
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
493 ar
72 r7r
4,1 ra 141 nnT
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT493 ar
72 r7r
4,1 ra 141 nnT
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
493 ar
72 r7r
4,1 ra 141 nnT
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
500first termtheis,10246 T
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n
rTTii find,49 and 7If 42 7ar
(iii) find the first term of 1, 4, 16, … to be greater than 500.
500nT5004 1 n
500log4log1 n
48.548.41
nn
500first termtheis,10246 T
Exercise 6E; 1be, 2cf, 3ad, 5ac, 6c, 8bd, 9ac, 10ac, 15, 17, 18ab, 20a
493 ar
72 r7r
4,1 ra 141 nnT
500log4log 1 n