Question

+ Rewrite the number 0.5 as the quotient of two integers. Find the sum of the given finite geometric series 0.5= (Type an integer or a simplified fraction.) The sum of the finite geometric series is Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 27+9+3+... Warren wanted to save money to purchase a new car. He started by saving $1 on the first of January. On the first of February, he saved $3. On the first of March, he saved $9. So on the first day of each month, he wanted to save three times as much as he did on the first day of the previous month. If Warren continues his savings pattern, how much will he need to save on the first day of October? Select the correct choice below and fill in any answer boxes within your choice. On the first day of October he will need to save $ x. 1. O A. The series converges. The sum of the series is (Type an integer or a simplified fraction.) OB. The series diverges. Determine if the given sequence is geometric. If the sequence is geometric, find the common ratio. -2, 2, 2, 2.. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Find the 10th term for the geometric sequence. $2000, $2280, $2599.20. O A. The sequence is geometric. The common ratio is -1 (Type an integer or a simplified fraction.) OB. The sequence is not geometric. O C. It cannot be determined whether the sequence is geometric or not. The 10th term of the geometric sequence is sx (Round to the nearest cent as needed.) Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. Find the sum of the geometric series. § 31-21-1 Select the correct choice below and fill in any answer boxes within your choice. What is the sum of the geometric series? Sn = ] (Type an integer or a decimal.) O A. The series converges. The sum of the series is zl. (Type an integer or a simplified fraction.) OB. The series diverges. Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio is a Determine the general term of the geometric sequence. a, - (Type an integer or a simplified fraction) 1 1 1 1 2:3 32 128 az = x (Type an integer or a simplified fraction) a3 = x (Type an integer or a simplified fraction) 24 = x (Type an integer or a simplified fraction.) as = x (Type an integer or a simplified fraction.) The general term an - 1 (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answer 1

S12 Griven finite geometric series, inį + = -2...-sha =15+3 - .. - = 1 +()+(6+1)+(-4)3+...+61) - 1x[1-4+)] - I-(-42) 1-(-512) It 1+ siz 512 312 513/512 3.7 - 512 x 23 Formula: ali-pn) atartar torfarna - lan