Your friend claims that you can use n/2(2a 1 + d(n 1)) to solve for any arithmet

Question

Your friend claims that you can use n/2(2a1 + d(n 1)) to solve for any arithmetic series; is your friendcorrect? a. No, you have to first determine the value of the nthterm
b No, there is no Sn term.
c. Yes, my friend has eliminated the need to knowSn.
d.   Yes, my friend has just combined the twostandard formulas.
Your friend claims that you can use n/2(2a1 + d(n 1)) to solve for any arithmetic series; is your friendcorrect? a. No, you have to first determine the value of the nthterm
b No, there is no Sn term.
c. Yes, my friend has eliminated the need to knowSn.
d.   Yes, my friend has just combined the twostandard formulas.
a. No, you have to first determine the value of the nthterm
b No, there is no Sn term.
c. Yes, my friend has eliminated the need to knowSn.
d.   Yes, my friend has just combined the twostandard formulas.

Explanation / Answer

Yo know than for an arithmetic series An = A1 + (n-1) d Sn = (n/2) ( A1+ An)       replacing An with A1+(n-1)d you get Sn = (n/2) (2A1 + (n-1)d ) Therefore Your friend has just combined two standard formulas i.e Sn and An therefore (d) is correct

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