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Marina CMI [18]
3 years ago
9

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
Vinvika [58]3 years ago
6 0

Hello there,

What is the sum of the first 7 terms of the series −8 +16 −32 + 64−... ?

Answer: -258



ch4aika [34]3 years ago
3 0

Answer: -258

<u>Step-by-step explanation:</u>

Given the sequence {-8, 16, -32, 64, ... , a₇} we know the following

  • the first term (a₁) = -8
  • the common ratio (r) = -2
  • the number of terms (n) = 7

Input the information above into the Sum formula:

S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_7=\dfrac{-8(1-(-2)^7)}{1-(-2)}\\\\.\quad =\dfrac{-8(1-(-128))}{1+3}\\\\.\quad =\dfrac{-8(129)}{4}\\\\.\quad =-2(129)\\\\.\quad =-258

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