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Ilya [14]
3 years ago
14

Find the sum of the geometric series given a1=2, r=−3, and n=8.

Mathematics
2 answers:
larisa [96]3 years ago
4 0

Answer:

S₈ = - 3280

Step-by-step explanation:

The sum to n terms of a geometric series is

S_{n} = \frac{a_{}(r^{n}-1)  }{r-1}

Here a₁ = 2, r = - 3 and n = 8 , then

S₈ = \frac{2((-3)^{8}-1) }{-3-1}

   = \frac{2(6561-1)}{-4}

   = \frac{2(6560)}{-4}

   = \frac{13120}{-4}

   = - 3280

 

inn [45]3 years ago
3 0

Answer:

<u>Sum</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>G</u><u>.</u><u>P</u><u> </u><u>is</u><u> </u><u>-</u><u>3</u><u>2</u><u>8</u><u>0</u>

Step-by-step explanation:

Summation:

{ \bf{sum =  \frac{a( {r}^{n }-1 )}{r - 1} }} \\  \\ { \tt{sum =  \frac{2( { { - 3}^{8 } -1)} }{ - 3 - 1} }} \\ { \tt{ =  \frac{13120}{-4} }} \\  = -3280

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