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Byju's Answer
Standard X
Mathematics
Sum of Infinite Terms of a GP
Evaluate 3×...
Question
Evaluate
3
×
3
1
/
2
×
3
1
/
4
×
3
1
/
8
×
...to
∞
Open in App
Solution
3
×
3
Y
2
×
3
Y
4
×
3
Y
8
.
.
.
.
.
.
∞
=
3
1
+
Y
2
+
Y
4
+
Y
8
∴
1
+
Y
2
+
Y
4
+
Y
8
is one sum of infinite
G
.
P
∴
S
u
m
=
a
1
−
r
Where
a
=
1
r
=
Y
2
∴
3
×
3
Y
2
×
3
Y
4
.
.
.
.
.
.
.
.
∞
=
3
1
1
−
Y
2
=
3
Y
Y
2
=
3
2
=
9
∴
3
×
3
Y
2
×
3
Y
4
.
.
.
.
.
∞
=
9
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