Identify whether the series summation of 16 open parentheses 5 close parentheses to the I minus 1 power from 1 to infinity is a
convergent or divergent geometric series and find the sum, if possible. A) This is a convergent geometric series. The sum cannot be found. B) This is a divergent geometric series. The sum cannot be found. C) This is a convergent geometric series. The sum is –4. D) This is a divergent geometric series. The sum is –4.
We are given with the function summation of 16*(5) ^(I-1) from 1 to infinity. As we assume in the calculator that infinity is equal to a very large number, the result that can be obtained is undefined. This means the number is very large. This is because the ratio (15) is large too. The series is divergent since the number in the infinite geometric series is ever increasing. Answer is B.
