11x1 t10 02 geometric series

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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

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