配套习题- 等比数列及其通项公式 -【青果学院】

1/4单选题

难度：

1.等比数列

,…的第四项等于（）

A
B	0
C	12
D	24

正确答案：QQ==

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

2/4单选题

难度：

2.公比为2的等比数列

的各项都是正数，且

则

A	1
B	2
C	4
D	8

正确答案：QQ==

6Kej77ya5Zug5Li65pWw5YiXPGltZyB3aWR0aD0yNiBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85RC83MC9yQkFDRkZTMDBDTERReHZvQUFBQm1WVkpDYk00NTkucG5nIj7mmK/nrYnmr5TmlbDliJfvvIzlm6DkuLo8aW1nIHdpZHRoPTkwIGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzM3LzBFL3JCQUNKbFMwMENLd3dUQlBBQUFCNTMxSGs4dzgzOC5wbmciPu+8jOaVsOWIl+eahOWQhOmhuemDveaYr+ato+aVsO+8jOaJgOS7pTxpbWcgd2lkdGg9NzIgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMzcvNEEvckJBQ0oxUzAwQ0xEZXV1RUFBQUIydnVlU0ZFNzQ5LnBuZyI+77yMPGltZyB3aWR0aD00MCBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC82Qi80OC9yQkFDRTFTMDBDTGdCcDFiQUFBQmsxMGlhcFUzMTMucG5nIj4s5Y+I5Zug5Li6PGltZyB3aWR0aD02MSBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8zNy8wRS9yQkFDSmxTMDBDS0F4aWtPQUFBQnl5ckg3M284NjYucG5nIj7vvIzmiYDku6U8aW1nIHdpZHRoPTQ4IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzlELzcwL3JCQUNGRlMwMENMeXN2ekZBQUFCbkdoV3VvNDMwMy5wbmciPizmiYDku6U8aW1nIHdpZHRoPTQwIGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzM3LzBFL3JCQUNKbFMwMENMREFUaHdBQUFCZDFFbEhfMDQxNy5wbmciPi7miYDku6XmraPnoa7nmoTpgInpobnmmK9BLg==

3/4单选题

难度：

3.

已知等比数列{a_n} 的公比为正数，且a₃.a₉=2a²₅ ,a₂=1 ,则a₁=（）

A	12
B	√22
C	√2
D	2

正确答案：Qg==

PHA+PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzlEL0U5L3JCQUNGRlMxMC1fUmUtaUtBQUFXa3pnUGZWVTI1MC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvOUQvRTkvckJBQ0ZGUzEwLV9SZS1pS0FBQVdremdQZlZVMjUwLnBuZyIgYWx0PSIiIHN0eWxlPSJ3aWR0aDogNjA0cHg7IGhlaWdodDogMTA2cHg7Ij48YnI+PC9wPg==

4/4单选题

难度：

4.

等比数列{a_n} 中，已知a₁=2, a₄=16, 数列a_n 的通项公式是（）

A	`a`_n=2ⁿ
B	`a`_n=2ⁿ⁻¹
C	`a`_n=2ⁿ⁺¹
D	`a`_n=2ⁿ⁺²

正确答案：QQ==

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