![]() How do you convert an explicit formula to a recursive formula? Answer:īy defining the first term and then setting the nth term as a function of the (n-1)th term multiplied by the common ratio. ![]() How can you write the explicit formula in different equivalent forms? Answer:īy using algebraic manipulation and exponent properties, such as G(n) = a / r^(1-n) or G(n) = a * r^(n) * r^(-1). A free collection of practice tools, our resources expect students to work their way through heaps of exercises based on explicit formulas for sequences involving integers, fractions, decimals, and more. Consider a situation in which the value of a car depreciates 10 per year. Identify a sequence as arithmetic, geometric, or neither. Write an explicit formula for a sequence, and use the formula to identify terms in the sequence. The exponent represents the number of times the common ratio is multiplied to get to the nth term. Greatly add to the child’s confidence and ingenuity with our printable worksheets on explicit formulas for arithmetic sequences. Write a recursive formula for a sequence, and use the formula to identify terms in the sequence. What does the exponent in the explicit formula represent? Answer: The explicit formula can be found by identifying the first term and the common ratio, then using the formula G(n) = a * r^(n-1), where a is the first term, r is the common ratio, and n is the term number. How do you find the explicit formula for a geometric sequence? Answer: The recursive formula to find the n th term of a geometric sequence is: a n a n-1 r for n 2 where a n is the n th term of a G.P. ![]() A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. ![]()
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