What is the first term in a geometric sequence if the common ratio is −3 and the sum of the first six terms is 1,274? hint: cap s sub n equals start fraction a sub one (one minus r to the power of n end power )over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio.

Suppose you want just guess at the answers in a 5 question multiple-choice test. each question has 3 responses and only one is correct. what is the probability of getting two questions right just guessing? 20 points 0.3275 0.2753 0.7532 none of the above

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.