to solve compound interest questions we use the formula A=P(1+rt) where P is the principal (initial investment) r is the rate or the return (7.5%) and t is the interval or time so 2 years
now putting it together we get A=950(1+ (7.5x2)) = 1092.50 $
the interest is this value A minus the initial investmetn so 1092.50 - 950 = 142.50$
well, the sequence goes, 1100, to 1135, to 1170.... notice, is simply adding 35 to get the next term, so the common difference is 35, and the first term is 1100 of course.