SOLUTION: Hello! In this problem, I had some trouble: "Find the value of t(subscript 2) + t(sub3) + t(sub4) + ... + t(sub 98) if t (sub 1) + t (sub 2) t (sub 3)... is an arithmetic progressi
Question 1039350: Hello! In this problem, I had some trouble: "Find the value of t(subscript 2) + t(sub3) + t(sub4) + ... + t(sub 98) if t (sub 1) + t (sub 2) t (sub 3)... is an arithmetic progression with the common difference = 1, and S (sub 98) = 137.
Please help me on this one. I've screwed up two solutions of it already... Found 2 solutions by Edwin McCravy, Fombitz:Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website! Hello! In this problem, I had some trouble:
"Find the value of t2 + t3 + t4 + ... + t98
if
t1 + t2 + t3 +... is an arithmetic progression
with the common difference = 1, and S98 = 137.
Use the sum formula:
with ,
Substitute
We want to find
t2 + t3 + t4 + ... + t98
Which we can get by subtracting t1 from S98 or 137
Answer:
An ugly answer, but it's correct,
according to what is given!
Edwin
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website! You know that the sum of an arithmetic progression in terms of common difference and first term is,
So,
Now that you have the first term you can subtract it from the sum to get the value that you're looking for.
or with a common denominator,