*a*_{1} = 7
Locate the first term. 7 → 15 by adding 8 15 → 31 by adding 16 Determine how to go from one term to another in the simplest way possible. 7 + 8 = 15 but 15 + 8 ≠ 31 Find a way to go from one term to another that works each and every time. Mistakes will be made. Just keep truckin'. 8 → 16 by either adding 8 or multiplying by 2 If you get stuck, look at the relationship between the numbers you added or subtracted to get from one term to the next. 7 × 2 + 1 = 15 and 15 × 2 + 1 = 31. The comparison may help you find a rule that works. Score. {*a*_{n}} = 2 × *a*_{n}-1 + 1 Rewrite the final rule using braces in terms of *a*_{n-1}. |