SOLUTION: If the average of 19 consecutive numbers is 545, what is the least of these numbers?

Question 925304: If the average of 19 consecutive numbers is 545, what is the least of these numbers?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Re TY: ...Knowing the Average of the consecutive numbers ...
We are Finding the 1st term of an Arithmetic Sequence(d=1) of 19 terms
...
average of 19 consecutive numbers is 545
Defn of Average

sum of the Numbers = 10,355
.........
Considering a Arithmetic Sequence Sum of n terms

a1 + a19 = 1090
......
Considering a Arithmetic Sequence(d=1): nth term

a19 = a1 + 18
....
2a1 + 18 = 1090
a1 = (1090-18)2
a1 =
..........
and...checking
S19 = 19/2(536 + 554) = 10,355
= 545
RELATED QUESTIONS
The average of 6 consecutive odd numbers is 50. What is the least of these numbers? (answered by htmentor)

The sum of three consecutive numbers is 600. What is the least of these three numbers? (answered by elima)

The sum of three consecutive numbers is 600. What is the least of these three... (answered by elima)

Could you please help me with this question?: The average (arithmetic mean) of ten... (answered by Alan3354)

if the average of 5 consecutive numbers is 13, what is the average of the first 4 of... (answered by Alan3354)

If the product of 3 consecutive numbers is 21924 what is the smallest of these... (answered by Boreal)

the average of 5 consecutive numbers is 75. what are the least and greatest of this... (answered by richard1234)

the average of 9 consecutive numbers is 20 the largest of these numbers is... (answered by rothauserc)

the average of 9 consecutive numbers is 20 the greatest of these numbers is... (answered by tommyt3rd)