1.) A¹=5 r=3 A¹⁰=?2.) A¹=-3 r=-5 A⁹=?
Answer (1)
To solve these geometric sequence problems, we'll use the general formula for the nth term of a geometric sequence:An = A1 * r^(n-1)Where: * An is the nth term * A1 is the first term * r is the common ratio * n is the term numberProblem 1: * A1 = 5 * r = 3 * n = 10Plugging these values into the formula:A10 = 5 * 3^(10-1)A10 = 5 * 3^9A10 = 5 * 19683A10 = 98415So, the answer to problem 1 is L.Problem 2: * A1 = -3 * r = -5 * n = 2Plugging these values into the formula:A2 = -3 * (-5)^(2-1)A2 = -3 * (-5)^1A2 = -3 * -5A2 = 15HOPE IT HELPS YOU
