gaokao 2020 Q6

gaokao · China · national-II-science 5 marks Geometric Sequences and Series Finite Geometric Sum and Term Relationships
In the sequence $\left\{ a _ { n } \right\}$ , $a _ { 1 } = 2 , a _ { m + n } = a _ { m } a _ { n }$ . If $a _ { k + 1 } + a _ { k + 2 } + \cdots + a _ { k + 10 } = 2 ^ { 15 } - 2 ^ { 5 }$ , then $k =$
A. 2
B. 3
C. 4
D. 5
In the sequence $\left\{ a _ { n } \right\}$ , $a _ { 1 } = 2 , a _ { m + n } = a _ { m } a _ { n }$ . If $a _ { k + 1 } + a _ { k + 2 } + \cdots + a _ { k + 10 } = 2 ^ { 15 } - 2 ^ { 5 }$ , then $k =$

A. 2

B. 3

C. 4

D. 5