7+14+21+_+140=_
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Answer: The sum is 735.
Step-by-step explanation: We need to start by finding the number of terms, n .
The formula t n = a + ( n − 1 ) d gives the nth term of an arithmetic series.
98 = 7 + ( n − 1 )7
98 = 7 + 7 n − 7
7 n = 98
n = 14
We can now apply the formula s n = n upon 2 ( t 1 + t n ) to determine the sum of the series.
s 14 = 14 upon 2 ( 7 + 98 )
s 14 = 7 ( 105 )
s 14 = 735
Hopefully this helps!
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