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Chharishma.r.nayaka
Subject: Maths
, asked on 26/10/17
Q.
∀
n
Σ
N
,
|Sin (n x)| < |Sin x|
|Sin (n x)|< n |Sin x|
|Sin (n x)|
≤
n |Sin x|
sin (n x)
≤
Sin n
Answer
1
Chharishma.r.nayaka
Subject: Maths
, asked on 25/10/17
For any integer n
≥
1, then
∑
k
=
1
n
k
(
k
+
2
)
is equal to?
Answer
1
Chharishma.r.nayaka
Subject: Maths
, asked on 25/10/17
2
.
I
f
a
x
=
1
k
(
k
+
1
)
f
o
r
k
=
1
,
2
,
3
,
.
.
.
.
n
,
t
h
e
n
f
i
n
d
t
h
e
v
a
l
u
e
o
f
∑
k
=
1
n
a
x
2
?
Answer
1
Mayank Kumar
Subject: Maths
, asked on 25/10/17
3 ^n is divided by 8 the remainder is always 1
Answer
1
Janardhan Shiva
Subject: Maths
, asked on 1/10/17
Is there any thumb rule by which divisibility of a cubic polynomial p(x) by a linear polynomial( x+1) or x-1 can be checked ? i remember reading something about sum of even power terms being equal to sum of odd power terms...
Answer
1
Kartik Agarwal
Subject: Maths
, asked on 27/9/17
Q.23. Prove by induction that
n
5
5
+
n
3
3
+
7
n
15
is a natural number for all n
∈
N.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 20/9/17
Dear Expert,
Please explain how we can get,
7/9[10+100+1000+...(m+1) term-(1+1+1...m+1 term...+1]
=7/9[{10(10m+1-1)/9}-m+1]
Answer
1
Vritti Gianchandani
Subject: Maths
, asked on 18/9/17
DearSir/Madam/Friend The price of 2 notebooks and 3 textbooks is Rs.120,but a notebook costs Rs.10 more than the textbook.Find the cost of both; the notebook and textbook? Need Urgently for tommorow's SA1 EXAM
Answer
2
Aditya Dwivedi
Subject: Maths
, asked on 16/9/17
Please explain how
2
.
2
k
>
2
k
i.e.
2
k
+
1
>
2
k
=
k
+
k
>
k
+
1
.
Answer
1
Erw Trjerth
Subject: Maths
, asked on 15/9/17
Plz answer the 17 question
Answer
1
Erw Trjerth
Subject: Maths
, asked on 15/9/17
Plz answer the 17 question
Q.17.
a
+
a
r
+
a
r
2
+
.
.
.
.
+
a
r
n
-
1
=
a
r
n
-
1
r
-
1
,
r
≠
1
Answer
3
Yagyam Aggarwal
Subject: Maths
, asked on 14/9/17
For all n>=1 prove that 1
2
+2
2
+3
2
+4
2
....+n
2
={n(n+1)(2 n+1)}/6
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 14/9/17
No links please
Q.16. A printed page is to contain 96
c
m
2
of printed area, a margin of 1.5 cm at the top and bottom and a margin of 1 cm at the sides. What are the dimensions of the smallest page that would fulfil the requirements?
Ans: 15 cm and 10 cm
Answer
1
Mndemothree
Subject: Maths
, asked on 13/9/17
Q. Prove the following
P(n,n) = 2P (n,n-2)
P(n,r) = P(n-1, r) + r , P(n-1, r-1)
P(n, n) = P(n, n-1)
P(n,r) = n.P(n-1,r-1)
Answer
1
Keertheraj
Subject: Maths
, asked on 11/9/17
By using PMI prove that , 4^n+15^n leaves remainder 1 when divided by 9 .
Answer
1
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What are you looking for?
Q.
Please explain how we can get,
7/9[10+100+1000+...(m+1) term-(1+1+1...m+1 term...+1]
=7/9[{10(10m+1-1)/9}-m+1]
i.e.
Q.17.
Q.16. A printed page is to contain 96 of printed area, a margin of 1.5 cm at the top and bottom and a margin of 1 cm at the sides. What are the dimensions of the smallest page that would fulfil the requirements?
Ans: 15 cm and 10 cm
Q. Prove the following