A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n – 1)(8) The same sequence has the following recursive formula: an = an – 1 + What number belongs in the blank space in the recursive formulaezra is training for a track race. he starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?