Find the sum of the first seven terms of $64,32,16 , \ldots$
A) 124
B) 126
C) 127
D) 130

Name: Find the sum of the first seven terms of $64,32,16 , \ldots$ A) 124 B) 126 C) 127 D) 130
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Question

Find the sum of the first seven terms of  $64,32,16 , \ldots$
A) 124
B) 126
C) 127
D) 130

Quizplus · Accepted Answer

This is a geometric series with the first term $a = 64$ and common ratio $r = \frac{1}{2}$. The sum of the first $n$ terms of a geometric series is given by $S_n = a \frac{1-r^n}{1-r}$. For the first seven terms, $S_7 = 64 \frac{1-(\frac{1}{2})^7}{1-\frac{1}{2}} = 64 \times \frac{127}{128} = 127$.

Find the Sum of the First Seven Terms Of 64,32,16,…64,32,16 , \ldots64,32,16,…

Find the Sum of the First Seven Terms Of $64,32,16 , \ldots$