Identify the value of the missing term in each geometric sequence1.-32,16,-82.100,50,25,3.-2,12,4324.-4,-64,-25615.32,2,i need explanation about that ​

Step-by-step explanation: Understanding Geometric SequencesA geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed non-zero number called the common ratio (r).General form of a geometric sequence: * a, ar, ar², ar³, ...To find a missing term in a geometric sequence: * Determine the common ratio (r): Divide any term by the previous term. * Use the common ratio to find the missing term: Multiply the previous term by the common ratio.Let's analyze the given sequences:1. -32, 16, -8, ... * Common ratio: 16 / -32 = -1/2 * Missing term: -8 * -1/2 = 42. 100, 50, 25, ... * Common ratio: 50 / 100 = 1/2 * Missing term: 25 * 1/2 = 12.53. -2, 12, 432, ... * Common ratio: 12 / -2 = -6 * Missing term: 432 * -6 = -25924. -4, -64, -256, ... * Common ratio: -64 / -4 = 16 * Missing term: -256 * 16 = -40965. 32, 2, ... * Common ratio: 2 / 32 = 1/16 * Missing term: 2 * 1/16 = 1/8In summary, to find the missing term in a geometric sequence, identify the common ratio and then multiply the previous term by it.

Answered by garciakyle6789 | 2024-09-08