Mathematics

Find the sum to infinity of the series (2+frac{3}{2}+frac{9}{8}+frac{27}{32}+……)

Find the sum to infinity of the series (2+frac{3}{2}+frac{9}{8}+frac{27}{32}+……)
  • A.
    1
  • B.
    2
  • C.
    8
  • D.
    4
Correct Answer: Option C
Explanation

(a=2\
r = frac{3}{4}\
S = frac{a}{1-r}\
S= frac{2}{1-frac{3}{4}}\
= frac{2}{frac{1}{4}}\
S = frac{2}{1}times frac{4}{1}\
= 8)