May 11, 2017 · As you can see, 2 is the first term in the sequence. Multiplying the current term by the common ratio, which is 3, presents the next term. Then that term is multiplied by the common ratio to …

Oct 16, 2016 · Sebastian writes the recursive formula f (x + 1) = 4f (x) to represent a geometric sequence whose second term is 12. Choose the explicit formula that can be used to model the same …

Oct 20, 2016 · To write a recursive formula for the arithmetic sequence with the given terms a17 = −40 and a28 = −73, we first find the common difference, which is -3. Thus, the recursive formula is an = …

Jul 17, 2020 · The correct recursive formula for Shaunta's arithmetic sequence is A: f (n + 1) = f (n) + 5, as it directly expresses that each term is 5 more than the previous term. The other options do not …

May 6, 2022 · The recursive formula for the sequence given by an = (n − 1)2 is an = an−1 + 2(n− 1) − 1 with a1 = 0. This formula allows us to calculate any term based on the previous term.

Oct 13, 2016 · The recursive formula for the total amount of time spent making hats is f (n + 1) = f (n) + 0.75. This means each subsequent amount of time is the previous amount plus 0.75 hours.

Jul 7, 2018 · The recursive formula to determine the total amount of money in Martina's savings account each year is T n = T n−1 × 1.05 for n ≥ 2, with the base case T 1 = 100.

Jan 5, 2025 · The recursive formula for the given arithmetic sequence is and . This reflects the constant decrease of 2 between successive terms. Therefore, the correct answer is option D.

Aug 18, 2019 · Use a recursive formula when the relationship between terms is more complex or when you need to define a sequence based on its previous terms. Recursive definitions are often useful in …

The recursive formula for the geometric sequence where each term is 51 of the next is an = 5 ×an−1, with the fifth term a5 = 781.25.