Question 1193591
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Hint:


Notice the odd-numbered terms (first, third, fifth, etc) follow this sequence 1, 4, 7, ...
While the even-numbered terms (second, fourth, sixth, etc) follow this sequence 2, 5, 8, ...


Both subsequences are arithmetic and have a common difference of d = 3 but different starting values of {{{a[1]}}}
Find the nth term formula for each using {{{a[n] = a[1]+d(n-1)}}} as your template.
The nth term formulas will help determine where the 95, 97 and 98 end up; thereby determining how many terms are in each subsequence (i.e. the value of n).


Afterward, use the formula
{{{S[n] = (n/2)*(a[1]+a[n])}}}
to find the sum of the first n terms for each arithmetic subsequence.
The final task is to add the two resulting sums to get your final answer.


If you have further questions, then please let me know. Or feel free to post again on the algebra.com website
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