8. Which function grows at the fastest rate for increasing values of x?
2 answers:
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Given:
In an arithmetic sequence,
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
...(i)
Where, d is the common difference.
We have,
...(ii)
On comparing (i) and (ii), we get
The sum of first i terms of an arithmetic sequence is:
Putting , we get
On further simplification, we get
Therefore, the sum of the first 335 terms in the given sequence is -167165.