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Home » The formula for the \(n\)th term is \(a_n = a \cdot r^n-1\). - AMAZONAWS

The formula for the \(n\)th term is \(a_n = a \cdot r^n-1\). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 If a sequence begins with 3 and increases by 4 each time, what is the 15th term?

📌 This is an arithmetic sequence with the first term \( a = 3 \) and common difference \( d = 4 \).

📌 The \( n \)-th term is given by \( a_n = a + (n-1)d \).

📌 Use \( n = 15 \): \( a_{15} = 3 + (15-1) \times 4 \).

📌 Simplify: \( a_{15} = 3 + 14 \times 4 = 3 + 56 = 59 \).

📌 Therefore, the 15th term is 59.

📌 The ratio of the number of apples to oranges in a basket is 5:3. If there are 40 apples, how many oranges are there?

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