Example: 2,4,6,8,10…..

Arithmetic Series : The sum of the numbers in a finite arithmetic progression is called as Arithmetic series.

Example: 2+4+6+8+10…..

nth term in the finite arithmetic series

Suppose Arithmetic Series a1+a2+a3+…..an

Then nth term an=a1+(n-1)d

Where

a1- First number of the series

an- Nth Term of the series

n- Total number of terms in the series

d- Difference between two successive numbers

Sum of the total numbers of the arithmetic series

Sn=n/2*(2*a1+(n-1)*d)

Where

Sn – Sum of the total numbers of the series

a1- First number of the series

n- Total number of terms in the series

d- Difference between two successive numbers

Example:

Find n and sum of the numbers in the following series 3 + 6 + 9 + 12 + x?

Here a1=3, d=6-3=3, n=5

x= a1+(n-1)d = 3+(5-1)3 = 15

Sn=n/2*(2a1+(n-1)*d)

Sn=5/2*(2*3+(5-1)3)=5/2*18 = 45

I hope the above formulae are helpful to solve your math problems ]]>

Programs: Ubuntu 13.10 - Octave 3.8.1 and Kate 3.11.5 ]]>

Today I thought of sharing a beautiful problem I learned in my school, though it is easy, it is tricky too.

Odd Days are number of days more than the complete number of weeks in given period.

Leap Year is the year which is divisible by 4.

A normal year has 365 days

A leap year has 366 days

One normal year = 365 days = 52weeks + 1day

One normal year has one odd day

One leap year = 366 days = 52weeks + 2days

One leap year has two odd days

100 years = 76 ordinary years + 24 leap years = 5200 weeks + 124 days = 5217 weeks + 5 days

100 years have 5 odd days

400 years have (20+1) 0 odd days

The number of odd days and the corresponding day of the week is given below

0-Sunday

1-Monday

2-Tuesday

3-Wednesday

4-Thursday

5-Friday

6-Saturday

So by finding out the number of odd days you can find out the day of the week. I hope this procedure Will be helpful in solving math problems in exams.

Thanks. ]]>

I am trying to install in /home a program called Tisean; if u have a look at the webpage where they explain how to install it, they tell you you'll "probably" need to just run 3 commands:

> ./configure --prefix=/my_home/Tisean_3.0.1

> make

> make install

However, this is not the case in my case since I keep getting always the same error message when I run the 3rd command (> make install), that is:

make: *** [do_install] Error 1

which is not self-explanatory at all! It must be something that has to do with the --prefix, which - if I got it right - is where the executables are put...

Could somebody help me out?

Thank you in advance,

Nicola ]]>