SOLUTION: The sum of the first 50 elements of a set is 6925 with a common difference of 5. What is the first element of the set.
Algebra ->
Sequences-and-series
-> SOLUTION: The sum of the first 50 elements of a set is 6925 with a common difference of 5. What is the first element of the set.
Log On
You can put this solution on YOUR website! The sum of the first 50 elements of a set is 6925 with a common difference of 5. What is the first element of the set.
----
S(n) = (n/2)(a(1)+a(n))
a(n) = a(1)+(n-1)d
-----
Solve for a(1)::
25(a(1)+[a(1)+49*5]) = 6925
-----
2*a(1) + 245 = 277
---
2a(1) = 32
---
a(1) = 16
-----------------
Cheers,
Stan H.
----------