SOLUTION: The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100. a)2550 b) 3250 c) 3775 d) 5050

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100. a)2550 b) 3250 c) 3775 d) 5050       Log On


   

Question 276006: The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100.
a)2550 b) 3250 c) 3775 d) 5050



Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100.
----
Arithmetic Series with a = 51, d = 1, n = 50
---
S(50) = (50/2)(51+100) = 25*151 = 3775
===============
Cheers,
Stan H.
---------------


a)2550 b) 3250 c) 3775 d) 5050

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100.
a)2550 b) 3250 c) 3775 d) 5050
--------------------
Each number of the 2nd group is 50 more than the corresponding number of the 1st group:
1 - 51
3 - 53, etc
There are 50 of them. 50*50 = 2500
add 2500 to 1275
= 3775