Starting with t1 equal to 2, the recursive rule gives the sequence 2, 4, 10, 28, 82, 244, 730. Therefore, 730 occurs at the seventh position. Hence, 730 is the seventh term of the sequence.
A sequence is given by the recursive rule t1 = 2, tn+1 = 3tn minus 2 for n greater than or equal to 1. Which term of the sequence is 730?
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The first term is 2. Applying the recursive rule, each new term is obtained by multiplying the previous term by 3 and subtracting 2. Thus, the sequence is 2, 4, 10, 28, 82, 244, 730. Since 730 appears at the seventh position, it is the seventh term of the sequence. Therefore, the required term is t7, which is equal to 730.
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/