SOLUTION: I am trying to find the sum of the following sequence:32+33+34+35+...+113. I can do any when it starts with 1, but I cannot grasp how to solve this one. Thank you

Algebra.Com
Question 879030: I am trying to find the sum of the following sequence:32+33+34+35+...+113. I can do any when it starts with 1, but I cannot grasp how to solve this one.
Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
You can derive a specific expression for the sum, without using the formula, if you want.

How many terms are in your sum? You see the difference between terms is 1; if you only had 32+33+34, this is three terms to sum. 34-32=2, but add 1 more to get 3; meaning three terms. YOUR given summation uses (113-32)+1=82 terms.

Now if you had, 32+33+34, and you add to it 34+33+32, you can show:



, commutative property for addition


In partial wording, , and n is for how many terms in the sum. YOUR sum has first term 32 and last term 113, and since the little example I showed was for DOUBLE the sum, you want to divide by 2:

-
-
Your example has n=82, firstTerm=32, lastTerm=113.
The sum wanted is . Just compute the number.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

I am trying to find the sum of the following sequence:32+33+34+35+...+113. I can do any when it starts with 1, but I cannot grasp how to solve this one.
Thank you


Sum of A.P. () when n, or number of terms, 1st term , or (), and last term () are known: 

Number of terms: 113 - 32 + 1, or 82

Therefore,  becomes: , or , or 

You can do the check!! 



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 

RELATED QUESTIONS


I really need help with this question. 
Find the sum of 34+35+36+37+...+102+103
I have... (answered by jim_thompson5910)

Hello, I am stuck with this problem and cannot seem to find any help.

I need to find... (answered by ewatrrr)

Find the sum of each of the following infinite series. If a series does not have a sum... (answered by rapaljer)

A bag contains 10 red marbles, 8 white marbles, and 8 blue marbles. You draw 5 marbles... (answered by ikleyn)

sin[tan^-1(5/12)-sin^-1(-1)]

I need to solve this equation for 0 (answered by lwsshak3)

An experimental station recorded the following data:

32	29	34	31	35	35	27	32	38	37	31... (answered by jim_thompson5910)

I have another question about proportion.

THE TEXTBOOK GIVES THE FOLLOWING QUESTION... (answered by josgarithmetic,ikleyn,greenestamps)


I am stumped on this one too. I have been working it for hours but cannot seem to get... (answered by robertb)

I am stumped on this one. I have been working it for hours but cannot seem to get the... (answered by robertb)