11 x1 t14 05 sum of an arithmetic series (2013)

36
Sum Of An Arithmetic Series

Transcript of 11 x1 t14 05 sum of an arithmetic series (2013)

Page 1: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series

Page 2: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22

Page 3: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22 adadadldllSn 22

Page 4: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22 adadadldllSn 22

lalalalalalaSn 2

Page 5: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22 adadadldllSn 22

lalalalalalaSn 2

lan

Page 6: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22 adadadldllSn 22

lalalalalalaSn 2

lan

lan

Sn 2

if we know l

Page 7: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22 adadadldllSn 22

lalalalalalaSn 2

lan

lan

Sn 2

if we know l

otherwise;

Page 8: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22

dnaan

Sn 12

adadadldllSn 22

lalalalalalaSn 2

lan

lan

Sn 2

if we know l

otherwise;

Page 9: 11 x1 t14 05 sum of an arithmetic series (2013)

Sum Of An Arithmetic

Series ldldldadaaSn 22

dnaan

Sn 12

adadadldllSn 22

lalalalalalaSn 2

lan

lan

Sn 2

if we know l

otherwise;

dnan

Sn 122

Page 10: 11 x1 t14 05 sum of an arithmetic series (2013)

66 find ,96 and 3 If .. STaige

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66 find ,96 and 3 If .. STaige

lan

Sn 2

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66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

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66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

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66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

numberseven 100first theof sum theFind ii

Page 15: 11 x1 t14 05 sum of an arithmetic series (2013)

66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

numberseven 100first theof sum theFind ii

100 and 2,2 nda

Page 16: 11 x1 t14 05 sum of an arithmetic series (2013)

66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

numberseven 100first theof sum theFind ii

100 and 2,2 nda

dnan

Sn 122

Page 17: 11 x1 t14 05 sum of an arithmetic series (2013)

66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

numberseven 100first theof sum theFind ii

100 and 2,2 nda

dnan

Sn 122

29942

100100 S

Page 18: 11 x1 t14 05 sum of an arithmetic series (2013)

66 find ,96 and 3 If .. STaige

lan

Sn 2

9632

66 S

297

numberseven 100first theof sum theFind ii

100 and 2,2 nda

dnan

Sn 122

29942

100100 S

10100

20250

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term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

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term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

Page 21: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

Page 22: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

2092 da

Page 23: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

2092 da

255 S

Page 24: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

2092 da

255 S

25422

5 da

Page 25: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

2092 da

255 S

25422

5 da

52 da

Page 26: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

Page 27: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

105 d

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

Page 28: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

105 d

1 2 ad

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

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term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

105 d

1 2 ad

dnaTn 1

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

Page 30: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

105 d

1 2 ad

dnaTn 1

12

211

n

n

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

Page 31: 11 x1 t14 05 sum of an arithmetic series (2013)

term.general theand , Find

25. is numbers 5first theand 100 is numbers 10first theof sum The

da

iii

10010 S

105 d

1 2 ad

dnaTn 1

12

211

n

n

100922

10 da

2092 da

255 S

25422

5 da

52 da

1042

2092

da

da

12 ,2 ,1 nTda n

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10

1

63 n

niv

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10

1

63 n

niv

10 ,24 ,3 nla

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10

1

63 n

niv

10 ,24 ,3 nla

lan

Sn 2

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10

1

63 n

niv

10 ,24 ,3 nla

lan

Sn 2

105

2432

1010

S

Page 36: 11 x1 t14 05 sum of an arithmetic series (2013)

Exercise 6I; 2ace, 4bd, 5ac, 7c, 8f, 9, 11ac, 13be, 16a

17bc, 19, 20a*

10

1

63 n

niv

10 ,24 ,3 nla

lan

Sn 2

105

2432

1010

S