Questions

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of an arithmetic sequence

  考慮兩個等差數列。第一個數列的首項\(a_1 = 3\)，公差\(d_1 = 5\)。第二個數列的首項\(b_1 = 7\)，公差\(d_2 = 2\)。找出合併數列的第10項，合併數列是通過將兩個數列的對應項相加形成的。

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of an arithmetic sequence

  考慮兩個等差數列。第一個數列的首項 \( a_1 = 3 \) 和公差 \( d_1 = 4 \)。第二個數列的首項 \( b_1 = 5 \) 和公差 \( d_2 = 2 \)。如果第一個數列的第 \( n \) 項等於第二個數列的第 \( m \) 項，當 \( m = 10 \) 時，找出 \( n \) 的值。

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of an arithmetic sequence

  考慮兩個等差數列。第一個數列的首項 \( a_1 = 3 \) 且公差 \( d_1 = 5 \)。第二個數列的首項 \( b_1 = 7 \) 且公差 \( d_2 = 2 \)。求 \( n \) 的值，使得第一個數列的第 \( n \) 項等於第二個數列的第 \( 2n \) 項？

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the concept and the properties of geometric sequences

  給定幾何序列 3, 6, 12, 24, ...，這個序列的公比是多少？

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the concept and the properties of geometric sequences

  考慮一個幾何序列，其中第一項 \( a_1 = 3 \)，第四項 \( a_4 = 81 \)。這個幾何序列的公比 \( r \) 是多少？

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the concept and the properties of geometric sequences

  考慮兩個幾何數列：數列A：\( a_n = 2 \cdot 3^{n-1} \)數列B：\( b_n = 5 \cdot 2^{n-1} \)對於哪個\( n \)值，數列A的項大於數列B的項？

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of a geometric sequence

  考慮一個幾何序列，其中第一項 \( a = 3 \) 且公比 \( r = 2 \)。這個序列的第五項是什麼？

  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of a geometric sequence

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  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of a geometric sequence

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  2024

• Arithmetic and Geometric Sequences and Their Summations Understand the general term of a geometric sequence

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  2024