Recent questions tagged arithmetic-series

0 votes
1 answer
1
What is the value of summation of n+$\frac{n}{2}$ + $\frac{n}{4}$ + …….+ 1 where n is an even positive integer ?
3 votes
2 answers
3
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
5 votes
7 answers
4
3 votes
2 answers
6
The sum of the series $\:3+11+\dots +(8n-5)\:$ is$4n^2-n$$8n^2+3n$$4n^2+4n-5$$4n^2+2$
0 votes
1 answer
8
If the sum of the first $n$ terms of an arithmetic progression is $cn^2$, then the sum of squares of these $n$ terms is$\frac{n(4n^2-1)c^2}{6}$$\frac{n(4n^2+1)c^2}{3}$$\f...
2 votes
4 answers
9
The sequence $\dfrac{1}{\log_3 2}, \: \dfrac{1}{\log_6 2}, \: \dfrac{1}{\log_{12} 2}, \: \dfrac{1}{\log_{24} 2} \dots $ is inArithmetic progression (AP)Geometric progress...
1 votes
3 answers
10
If $x,y,z$ are in $A.P.$ and $a>1$, then $a^x, a^y, a^z$ are in$A.P.$$G.P$$H.P$none of these
0 votes
1 answer
11
If $a,b,c$ are in $A.P.$ , then the straight line $ax+by+c=0$ will always pass through the point whose coordinates are$(1,-2)$$(1,2)$$(-1,2)$$(-1,-2)$