2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Sum of Coefficients of All Terms
Find the valu...
Question
Find the value of greatest term in the expansion of
√
3
[
1
+
1
√
3
]
20
.
Open in App
Solution
Consider
(
1
+
1
√
3
)
20
If
T
r
+
1
is numerically greatest
term, then
T
r
+
1
T
r
>
1
or
n
−
r
+
1
r
×
x
>
1
where
n
=
20
,
x
=
1
√
3
,
r
=
?
∴
(
20
−
r
+
1
r
)
×
1
√
3
>
1
or
20
−
r
+
1
>
√
3
r
or
√
3
r
+
r
<
21
or
r
<
21
√
3
+
1
or
r
<
7.68
→
(
1
)
Similarly
T
r
+
1
T
r
+
2
>
1
or
r
+
1
r
−
1
×
1
x
>
1
or
r
+
1
20
−
r
>
1
√
3
or
√
3
r
+
√
3
>
20
−
r
or
r
>
20
−
√
3
√
3
+
1
or
r
>
6.68
→
(
2
)
From
(
1
)
and
(
2
)
only integer value of
r
=
7
∴
greatest term
=
√
3
20
C
7
√
3
13
=
20
C
7
(
√
3
)
14
=
20
C
7
×
3
7
.
Suggest Corrections
1
Similar questions
Q.
Find the value of the greatest term in the expansion of
√
3
(
1
+
1
√
3
)
20
.
Q.
Value of the numerically greatest term in the expansion of
√
3
(
1
+
1
√
3
)
20
is