The formula uppercase S = StartFraction n (a Subscript 1 Baseline plus a Subscript n Baseline) Over 2 EndFraction gives the part
ial sum of an arithmetic sequence. What is the formula solved for an?
a Subscript n Baseline = StartFraction 2 uppercase S minus a Subscript 1 Baseline n Over n EndFraction
a Subscript n Baseline = StartFraction 2 uppercase S + a Subscript 1 Baseline n Over n EndFraction
a Subscript n Baseline = 2 uppercase S + a Subscript 1 Baseline n + n
a Subscript n Baseline = 2 uppercase S minus a Subscript 1 Baseline n + n
a Subscript n Baseline = StartFraction 2 uppercase S minus a Subscript 1 Baseline n Over n EndFraction
a Subscript n Baseline = StartFraction 2 uppercase S + a Subscript 1 Baseline n Over n EndFraction
a Subscript n Baseline = 2 uppercase S + a Subscript 1 Baseline n + n
a Subscript n Baseline = 2 uppercase S minus a Subscript 1 Baseline n + n
2 answers:
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To find the mid-way number we do this:
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
= 7,684
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000
