What is the sum of the geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 2) (negative 3) Sup

Question

3 years ago

8

erscript n minus 1

2 answers:

belka [17] · Answer 1 · 2022-04-14T09:25:30+03:00

Answer:

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

Alex777 [14] · Answer 2 · 2022-04-14T10:49:44+03:00

5 0

Answer:

The answer is C (40)

Step-by-step explanation: