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Byju's Answer
Standard XII
Mathematics
A.G.P
Let S =1+4/5+...
Question
Let
S
=
1
+
4
5
+
7
5
2
+
10
5
3
+
⋯
∞
.
Then the value of
S
is
A
31
16
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B
17
8
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C
7
4
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D
35
16
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Solution
The correct option is
D
35
16
S
=
1
+
4
5
+
7
5
2
+
10
5
3
+
…
S
5
=
1
5
+
4
5
2
+
7
5
3
+
…
Subtracting the above two equations,
4
S
5
=
1
+
3
5
+
3
5
2
+
3
5
3
+
…
⇒
4
S
5
=
1
+
3
5
⎛
⎜ ⎜ ⎜
⎝
1
1
−
1
5
⎞
⎟ ⎟ ⎟
⎠
∴
S
=
35
16
Suggest Corrections
1
Similar questions
Q.
Let
S
=
1
+
4
5
+
7
5
2
+
10
5
3
+
…
∞
, then the value of
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Q.
Let
S
=
1
+
4
5
+
7
5
2
+
10
5
3
+
⋯
∞
.
Then the value of
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Q.
Let
S
=
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+
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5
+
7
5
2
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3
+
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∞
, then the value of
S
is
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+
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Find the value of 16S.
Q.
Evaluate
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=
1
+
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5
+
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5
2
+
10
5
3
+
.
.
.
.
.
.
to infinite terms. Find
16
S
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