Question

The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the twelfth bid?201, 212, 223, 234,...A(n) = 201 + (n - 1)11 (Type an expression using n for the variable.)A(12)-(Simplify your answer.)

Answer 1

Given the sequence 201, 212, 223, 234

The sequence has been represented by the general formula

A(n) = 201 + (n - 1)11

where n is the number of terms

Hence where n = 12,

A (12) = 201 + (12 - 1)11

= 201 + 11*11

= 201 + 121

= 322

The expression using the nth variable is A(n) = 201 + (n - 1)11

A(12) = 322