The ratio of dates to peanuts is the same as cashews to raisins. Simplified, both ratios equal 1/2.
S = a*((1 - r^(n+1))/(1-r))
S = 1*((1 - 2^(7+1))/(1-2))
S = 1*((1 - 2^8)/(1-2))
S = 1*((1 - 256)/(1-2))
S = 1*((-255)/(-1))
S = 255
So 1+2+4+8+...+128 = 255
There is nothing wrong with Arlene's math. Her answer is correct. The mistake is that she has cited the "associative property" where the "commutative property" should have been cited, and vice versa.
The associative property has to do with where you put parentheses. The commutative property has to do with what order the operands are in.
2 liters equals approximately 68 ounces, which costs about 6 cents per 12 ounces (cost per ounce is too small to document). The cost per a twelve ounce can is about 0.29 cents. The can is the better deal.
your answer will be f(x)=113−kx,f(−3)=121