Answer:
Initially, there were 50 memes.
Explanation:
It is given that the number doubles daily.
Let the initial number = a
On 2nd day, the number = 2a
On 3rd day, the number = 2
2a
On 4th day, the number = 2
2
2a
and so on..
If we look closely, it is a Geometric Progression with
First term = a and
The common ratio, r = 2
Also, it is given that, 12th term:
![a_(12)=102400](https://img.qammunity.org/2021/formulas/mathematics/college/mc7khwvhox8ekzs5dx4bib9nrts2w2vqi5.png)
nth term of a GP is given as:
![a_n=ar^(n-1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rbq60pc1ze8urlh5sg8jop45j9fb3u6ihf.png)
So,
![a_(12)=a * r^(12-1)\\\Rightarrow 102400=a * 2^(11)\\\Rightarrow a=(102400)/(2^(11))\\\Rightarrow a=(102400)/(2048)\\\Rightarrow a = 50](https://img.qammunity.org/2021/formulas/mathematics/college/xrl22iyxgjs8lvs5cdxzxxbd2zfj1covg8.png)
Hence, the answer is, the initial number is 50.