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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

1) 1+2+4+8+................+2^9 a = 1, r => 2/1 = 2 = 2^9 2^9 = a*r^(n-1) put the value of a and r 2^9 = 1*2^(n-1) 2^9 = 2^(n-1) as the base is same hence power also same 9 = n-1 n = 10 = a{(r^n - 1) / (r - 1)} put the value of a, r and n = 1*{(2^10 - 1) / (2 - 1)} = 2^10 - 1 = 1023

2) sum of G.P. is only define for r<1 or r>1 not for r=1 because if we put r = 1 then we get 0 in the denominator so for the sum we just add 30, 100 times so the sum = 30*100 = 3000