boborosetihpen boborosetihpen

09-07-2020
Mathematics

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the common ratio in geometric series is 0.5 and the first term is 256. what is the sum of the first 6 terms in the series?

Respuesta :

jenny200588 jenny200588

09-07-2020

Answer:

501.76

Step-by-step explanation:

common ratio r = 0.5

first term a = 256

sum of G.p = Sn= a( r^n -1)/r-1

sum of the first 6 terms =

S6 = 256( 0.5^6 - 1)/ 0.5 - 1

= 256( 0.0156 - 1)/-0.5

= 256( -0.98)/-0.5

= - 250.88/-0.5

S6 = 501.76

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