SOLUTION: The sum of the nth term of a linear sequence is 300. The sum of the same sequence up to (n-1)th term is 240. (a) Find the nth term of the sequence. (b) If the third and fifth

Algebra ->  Finance -> SOLUTION: The sum of the nth term of a linear sequence is 300. The sum of the same sequence up to (n-1)th term is 240. (a) Find the nth term of the sequence. (b) If the third and fifth       Log On


   

Question 1145929: The sum of the nth term of a linear sequence is 300. The sum of the same sequence up to (n-1)th term is 240.
(a) Find the nth term of the sequence.
(b) If the third and fifth terms of this sequence is 48 and 56 respectively. Find the first term of this sequence.
(c) find the position of the last term of this sequence based on (a) above.
(d) determine the number of terms that will produce the sum to be 240.
(e) list the terms of the sequence that will produce the sum to be 240.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I'll give you a bit of help so that YOU can find the answers to the questions....

(a) The n-th term is the difference between the sum of the first n terms and the sum of the first (n-1) terms. Both those sums are given to you.

(b) The difference of 56-48=8 between the 3rd and 5th terms allows you to determine the common difference between terms.

Now you know the 3rd and 5th terms (given), the n-th term (from part a), and the common difference (from part b). That allows you to completely determine the sequence, allowing you to answer the remaining questions.