There are 40 questions in a competitive exam. 3 marks are awarded for each correct answer, while 2 marks are is deducted for each incorrect answer. If Annie answered 22 questions correctly, how many marks did she get?
An arithmetic sequence is a sequence of numbers a1, a2, a3,... where an - an-1 has the same value for every n. For example, 2, 4, 6, 8, 10,....is such a sequence where the difference between any 2 consecutive numbers is 2. Given, a, b, c, d, and e are consecutive numbers in such a sequence and a + b + c + d + e = 90. What is the value of c?