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Example 3: Find the explicit formula of the following arithmetic sequence; 11, 17, 23, 29, 35, 41, 47,â¦ Solution: First term a1 = 11, common difference d = 17 â 11 = 6. Use nth term formula to find the explicit formula. an = a1 + (n â 1)d. an = 11 + (n â 1)6. an = 11 + 6n â 6. an = 6n + 5. Therefore, explicit formula of the given arithmetic sequence is an = 6n + 5. Example 4: Find the explicit formula of the following geometric sequence; 3, 12, 36, 108, 432,â¦