Question 30
POST_UTME_KSU
•
2018
•
MATHEMATICS
•
objective
Find the sum of the first 10 terms of the geometric series with first term \(a = 2\) and common ratio \(r = \frac{1}{2}\).
Answer Options
Correct Answer
A.
\(2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} = \frac{511}{256}\)
B.
\(2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} = \frac{255}{128}\)
C.
\(2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} = \frac{127}{64}\)
D.
\(2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} = \frac{63}{32}\)
Correct Answer
A
Correct Option:
\(2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} = \frac{511}{256}\)
About This Question
This is
Post Utme Ksu
2018
Mathematics
Question 30.
It is one of the
objective
questions from the
2018
Post Utme Ksu
Mathematics
examination.