Mathematics: What is the sum of the geometric sequence -4,24, -144, if there are 6 terms? a. -159,963 b. 26,660 c. 26,661 d. 159,963

What is the sum of the geometric sequence -4,24, - id42413036371, bicaplinger7766

Ответ:

bushrajmaBushra

06.01.2022

Each term is multiplied by -6 to get next term
first term is -4

a1=-4
r=-6

the sum is
$S_n=\frac{a_1(1-r^n)}{1-r}$
a1=-4
r=-6
n=6 because we want 6 terms

$S_6=\frac{-4(1-(-6)^6)}{1-(-6)}$
$S_6=\frac{-4(1-46656)}{1+6}$
$S_6=\frac{-4(-46655)}{7}$
$S_6=\frac{186620}{7}$
S_6=26660

answer is B

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Ответ:

crobinson5087

17.08.2021

Mathematics

An algebraic expression is a mathematical expression that consists of variables, numbers, and operations. We can use algebraic expressions to represent unknown number situations involving addition, subtraction, multiplication, and division.

Step-by-step explanation:

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What is the sum of the geometric sequence -4,24, -144, if there are 6 terms?

a. -159,963
b. 26,660
c. 26,661
d. 159,963

Ответ:

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