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Chharishma.r.nayaka
Subject: Maths
, asked on 26/10/17
Q.
$\forall n\Sigma N,$
|Sin (n x)| < |Sin x|
|Sin (n x)|< n |Sin x|
|Sin (n x)|
$\le $
n |Sin x|
sin (n x)
$\le $
Sin n
Answer
1
Chharishma.r.nayaka
Subject: Maths
, asked on 25/10/17
For any integer n
$\ge $
1, then
$\sum _{k=1}^{n}k(k+2)$
is equal to?
Answer
1
Chharishma.r.nayaka
Subject: Maths
, asked on 25/10/17
$2.If{a}_{x}=\frac{1}{k(k+1)}fork=1,2,3,....n,thenfindthevalueof{\left(\sum _{k=1}^{n}{a}_{x}\right)}^{2}$
?
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
$\frac{{n}^{5}}{5}+\frac{{n}^{3}}{3}+\frac{7n}{15}$
is a natural number for all n
$\in $
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
$2.{2}^{k}>2k$
i.e.
${2}^{k+1}>2k=k+k>k+1.$
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.
$a+ar+a{r}^{2}+....+a{r}^{n-1}=a\left(\frac{{r}^{n}-1}{r-1}\right),r\ne 1$
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. $\forall n\Sigma N,$

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]

$2.{2}^{k}>2k$

i.e. ${2}^{k+1}>2k=k+k>k+1.$

Q.17. $a+ar+a{r}^{2}+....+a{r}^{n-1}=a\left(\frac{{r}^{n}-1}{r-1}\right),r\ne 1$

^{2}+2^{2}+3^{2}+4^{2}....+n^{2}={n(n+1)(2 n+1)}/6Q.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

Q. Prove the following