Sum Of A Geometric Series
Jun 19, 2015
Sum Of A Geometric Series
Sum Of A Geometric Series
12 nn arararaS
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
aarSr nn 1
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
aarSr nn 1
1
1
rraS
n
n
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
aarSr nn 1
1
1
rraS
n
n 1 if , r
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
aarSr nn 1
1
1
rraS
n
n
OR
1 if , r
rraS
n
n
11
Sum Of A Geometric Series
12 nn arararaS
nnn arararararrS 132
aarSr nn 1
1
1
rraS
n
n
OR
1 if , r
rraS
n
n
11 1 if, r
Sum To Infinity (Limiting Sum)
Sum To Infinity (Limiting Sum)1: rNOTE
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
1862 ofterms10first theofsum theFind .. ige
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
1862 ofterms10first theofsum theFind .. ige10and 3,2 nra
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
1862 ofterms10first theofsum theFind .. ige10and 3,2 nra
11
rraS
n
n
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
1862 ofterms10first theofsum theFind .. ige10and 3,2 nra
11
rraS
n
n
13
132 10
10
S
Sum To Infinity (Limiting Sum)1: rNOTE
0lim ,1 If
n
nrr
rraS
n
nnn
1
1limlim
ra
1
1 if ,1
rr
aS
1862 ofterms10first theofsum theFind .. ige10and 3,2 nra
11
rraS
n
n
13
132 10
10
S
59048
8
3
1
216
n
n
ii
8
3
1
216
n
n
ii2
216
a
8
3
1
216
n
n
ii2
216
a
23
8
3
1
216
n
n
ii2
216
a
23
6 ,21
nr
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
23
6 ,21
nr
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
23
6 ,21
nr
211
211
23 6
6
S
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
23
6 ,21
nr
211
211
23 6
6
S
64189
12
6463
23
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
sum? limiting a have 72456 Does iii
23
6 ,21
nr
211
211
23 6
6
S
64189
12
6463
23
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
sum? limiting a have 72456 Does iii
1564r
23
6 ,21
nr
211
211
23 6
6
S
64189
12
6463
23
8
3
1
216
n
n
ii2
216
a
rraS
n
n
11
sum? limiting a have 72456 Does iii
1564r
sum limiting a hasit ,1 as r
23
6 ,21
nr
211
211
23 6
6
S
64189
12
6463
23
81
41
21 iv
81
41
21 iv
21,
21
ra
81
41
21 iv
21,
21
ra
raS
1
81
41
21 iv
21,
21
ra
raS
1
1211
21
81
41
21 iv
21,
21
ra
fraction a as 630. Write v
raS
1
1211
21
81
41
21 iv
21,
21
ra
fraction a as 630. Write v 000036.00036.036.063.0
raS
1
1211
21
81
41
21 iv
21,
21
ra
fraction a as 630. Write v 000036.00036.036.063.0
01.0 ,36.0 ra
raS
1
1211
21
81
41
21 iv
21,
21
ra
fraction a as 630. Write v 000036.00036.036.063.0
01.0 ,36.0 ra
raS
1
raS
1
1211
21
81
41
21 iv
21,
21
ra
fraction a as 630. Write v 000036.00036.036.063.0
01.0 ,36.0 ra
raS
1
raS
1
1211
21
1149936
01.0136.0
81
41
21 iv
21,
21
ra
fraction a as 630. Write v 000036.00036.036.063.0
01.0 ,36.0 ra
raS
1
raS
1
1211
21
1149936
01.0136.0
Exercise 6J; 3cf, 5, 7b8a(i), 9, 12, 14, 17b
Exercise 6K; 2adgj, 3b,4a, 6bf, 8, 11a, 17ace, 19*
Exercise 6L, 1dg, 2d, 4a