Concept:This is a geometric series where each term is obtained by multiplying the previous term by a constant ratio.Explanation:Find the common ratio: r=100−20​=−51​.Check the next term: −20×(−51​)=4.So the missing term is: 4×(−51​)=−0.8.Verify further: −0.8×(−51​)=0.16, and 0.16×(−51​)=−0.032.
Answer:The missing number is −0.8, so option D is correct.