Mathematics, 12.08.2020 06:01 lailai432
Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8
Answers: 3
![S_n = \frac{n}{2}[2a+(n-1)d]](/tpl/images/0719/2644/cdb23.png)
![S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70](/tpl/images/0719/2644/f1daf.png)
![S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)](/tpl/images/0719/2644/25a60.png)
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Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8...
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