The 8th term is 192 and the common ratio is 2. From the 8th term to the 12th term there are four steps. Therefore, t12 equals 192 multiplied by 2 four times, giving 3072.
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The given GP has common ratio 2 and its 8th term is 192. To find the 12th term, we move four positions forward from the 8th term. Each position multiplies the previous term by 2. Therefore, t12 equals 192 multiplied by 2 raised to the fourth power. Hence, t12 equals 192 multiplied by 16, which gives 3072. Therefore, the 12th term is 3072.
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-8/