The first difference of a sequence is 3.6.9. 12. 15. find the first six terms of the original sequence in each of the following cases a. the first term of the original sequence is 1 b. the sum of the first two terms in the original sequence is 7 c. the fifth term in the orginal sequence is 37 a. the first six terms are a nd (simplify your answers use ascending order)

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.

The probability of drawing a heart from a standard deck of cards is .25. you record the card you draw and return the card before shuffling to ensure a binomial distribution. if you do this 20 times what is the probability that you will draw a heart 7 times? a. 0.888 b. 0.001 c. 0.112 d. 0.473