Nov 1, 2023 · The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

Oct 30, 2018 · The explicit formula for an arithmetic sequence is an = a1 + (n − 1)d. This formula allows you to calculate any term in the sequence using its first term, the common difference, and the …

Jan 24, 2025 · The explicit formula shows that the first term is 13 and the common difference is identified as 6. This is consistent with the definitions and properties of arithmetic sequences.

Dec 7, 2018 · This demonstrates how to find any term using the same formula by simply changing the value of n. The arithmetic sequence formula correctly follows the pattern of terms based on the input …

Nov 6, 2019 · The derived explicit formula an = 6n matches the definition of an arithmetic sequence where the difference between consecutive terms remains constant. The common difference of 6 is …

Sep 6, 2023 · The explicit formula for an arithmetic sequence is given by: an = a1 + d (n-1), where a1 is the first term of the sequence, d is the common difference between consecutive terms, and n …

Oct 13, 2025 · The recursive formula for the given explicit arithmetic sequence an = −5 + 2(n − 1) is a1 = −5,an = an−1 +2. This indicates that the sequence starts at −5 and increases by 2 for each …

Nov 6, 2025 · The steps to solve for the 9th term using the arithmetic sequence formula confirm the calculations performed. The results are based on the defined properties of arithmetic sequences and …

Sep 17, 2019 · The correct formula to determine the number of squares in each layer is a1 = 4; an = 4 +an−1, n> 0, which shows that each layer increases by 4 squares compared to the previous one. …

Jun 2, 2025 · Substitute n = 1 into the explicit formula. Calculate a1 = 7(1) − 17. Simplify the expression. The value of a1 is −10 . Explanation Understanding the Problem We are given the explicit formula for …