Answer:
8184 vocalists sang in total
Step-by-step explanation:
The number needed is ...
8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:
Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio
S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184
Answer:
6,138
Step-by-step explanation:
Number of vocalist needed on the first day = 6
Each day after that, the number of vocalists needed doubles
To Find:
The total number of vocalist found on the 10th day = ?
Solution:
By using the geometric series
Where
a is the first term
r is the ratio
n is the number of terms
On substituting the values
That is
The first day = 6 vocalist
Second day = 12 vocalist
third day =24 vocalist
Fourth day =48 vocal list
Fifth day = 96 vocalist
Sixth day = 192 vocalist
Seventh day = 384 vocalist
eight day = 768 vocalist
Ninth day = 1536 vocalist
Tenth day = 3072 vocalist
So
6+12+24+48+96+192+384+768+1536+3072 = 6138 vocalist sang in total on the end of tenth day.
