Which answer represents the series in sigma notation?

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64

7

a. ∑ 2^j-1

j=1

7

b. ∑ 1/2(j+1)

j=1

7

c. ∑ 1/2 ^j-1

j=1

7

d. ∑ 1/2j+1

j=1

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

Iwant to know what 3g+5h+4g-2h is my teacher is too selfish to tell us

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)