Answer:
The answer is a) 1,023
Step-by-step explanation:
A geometric series is a series with a constant ratio between successive terms. So, the given series must be in the exponential form.
[tex]2^{0}+2^{1}+2^{2}+2^{3}+2^{4}+2^{5}+2^{6}+2^{7}+2^{8}+2^{9}[/tex]
We have been asked about the sum of the geometric series :
[tex]1+2+8+16+32+64+128+256+512[/tex]
Sum = 1023
Hence, option A is the answer.
The given series : 20+21+22+23+....+29 is an arithmetic series.
Its sum is : [tex]\frac{10(20+29)}{2}=245[/tex]
I have solved the question both ways. Both the answers are right with respect to the series name.
