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seropon [69]
3 years ago
7

LAST QUESTION ON THIS ASSIGNMENT I WILL GIVE BRAINLIEST

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0

Good morning ☕️

Answer:

S=7((-\frac{2}{5})^{n-1} - 1)

Step-by-step explanation:

Consider

(Vn) the geometric Sequence

S the sum

q the common ratio

V1 the first term

S=V_{1}\frac{1-q^{n-1} }{1-q}

q=\frac{2}{-5}=-\frac{2}{5} \\ \\V_1=-5

then

S=(-5)\frac{1-(-\frac{2}{5}) ^{n-1} }{1-(-\frac{2}{5} )}

then (after a bit of calculations you’ll find)

S=7((-\frac{2}{5})^{n-1} - 1)

_______________________________

:)

sukhopar [10]3 years ago
6 0

Step-by-step explanation:

Hope it helps you in your learning process.

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