Prove the arithmetic progressions equation, Mathematics

Assignment Help:

Prove that am + n + am - n  =2am

Ans:    a m + n = a1 + (m + n - 1) d

a m-n = a1 + (m - n -1) d

am = a1 + (m-1) d

Add 1 & 2

a m+n + a m-n  =   a1+(m+n-1) d+ a1 + (m-n-1)d

=          2a1+(m+n+m-n-1-1)d

=          2a1+ 2(m-1)d

=          2[a1+ (m-1)d]

=          2[a1+ (m-1)d]

=          2am.       Hence proved.


Related Discussions:- Prove the arithmetic progressions equation

Real numbers on every line, Make a file called "testtan.dat" which has 2 li...

Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3).  The file can be formed from the edi

ADDING AND SUBTRACTING EQUATION, GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 ...

GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 AND THEN SUBTRACT 0 IS-14

Physical fitness association, Physical fitness association 1 mile run. It i...

Physical fitness association 1 mile run. It is known to have a normal distribution, mean 450 sec. SD 50 sec. How many in the top 10% fastest runners? Need to know what time they ha

Probability - Compound Events, David wants to rent a movie. He wants to wat...

David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a

Math, 1+3+5+7+9+11+13+15+17+19

1+3+5+7+9+11+13+15+17+19

Fraction, Ask question #Minimum 100 words accepted

Ask question #Minimum 100 words accepted

Standard deviation, 2.When investigating times required for drive-through s...

2.When investigating times required for drive-through service, the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the tw

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd