Building Functions

Directions: Using the digits 1-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes so that the values of each expression increases from least to greatest. Each number may only be used once. Source: John Rowe

Directions: The measures of the angles of a convex polygon form an arithmetic sequence. The smallest angle has a measurement of 129 degrees. The largest angle has a measurement of 159 degrees. Find the number of sides in this polygon. Source: Ricardo Navarro

Directions: What are the maximum and minimum values for c if x^2 + 12x + 32 = (x+a) (x+b) + c? Source: Jedidiah Butler

Directions: Which is bigger? The common ratio, r, in a geometric sequence with OR the common difference, d, in an arithmetic sequence with Source: Nanette Johnson