stephanieg6309 stephanieg6309

10-02-2021
Mathematics

contestada

Evaluate the geometric series below. Please show your work.

Evaluate the geometric series below Please show your work class=

Respuesta :

LanceLongFei LanceLongFei

10-02-2021

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]

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