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

What is the sum of the series?

3 +12 + 48 + 192 + ... + 49, 152

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is the sum of the series? 3 +12 + 48 + 192 + ... + 49, 152-example-1

2 Answers

4 votes

Answer:

Its 49,907

Step-by-step explanation: becuase if you add al the numbers you get 49407, and its not close to 81 65 or 56, so you can just add 500 to get your answer,


5 votes

Answer: (C) 65,535

Explanation:

Given the sequence {3, 12, 48, 192, ... , 49152} we know the following

  • the first term (a₁) = 3
  • the common ratio (r) = 4
  • the number of terms (n) = 8

Input the information above into the Sum formula:


S_n=(a_1(1-r^n))/(1-r)\\\\S_8=(3(1-4^8))/(1-4)\\\\.\quad =(3(1-65,536))/(-3)\\\\.\quad =(3(-65,535))/(-3)\\\\.\quad =65,535


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