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Byju's Answer
Standard VII
Mathematics
Relation between Odd Numbers Powers of 2
Find number o...
Question
Find number of digits
1025
t
h
term of the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
.
.
.
.
.
.
.
.
.
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Solution
The given sequence is
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8.....
1
comes one times.
2
comes two times.
4
comes four times
8
comes eight times
Let
x
comes at
1025
t
h
term
1
+
2
+
4
+
8.....
x
≥
1025
∴
The above sequence is
C
.
P
∴
1
(
2
n
−
1
)
2
−
1
≥
1025
∴
2
n
−
1
≥
1025
(
n
=
x
)
∴
2
n
≤
1026
We have to find test
n
∴
n
=
11
.........
(
2
11
=
2048
)
(
2
10
=
1024
)
∴
1025
t
h
t
e
r
m
=
2
11
=
2048
∴
numbers of digit
=
4
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1
Similar questions
Q.
Find number of digits
1025
t
h
terms of the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
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8
,
8
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8
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8
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Q.
Find the number of digits
1025
t
h
term of the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8
,
8
,
8
,
8
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8
Q.
What is the
1025
t
h
term of the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
?
Q.
For the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
…
,
the
1025
th
term is
Q.
Consider the sequence
1
,
2
,
2
,
4
,
4
,
4
,
4
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
8
,
.
.
.
.
and so on. Then
1025
t
h
terms will be
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Standard VII Mathematics
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