3
QuizMultiple Choice

Simple Interest and Arithmetic Sequences — Quiz

Question 3 • Advanced Financial Algebra

Sherlyn has been tracking her savings account balances over the past few years. The balances recorded are $⁢150 , $⁢200 , $⁢250 , $⁢300 , $⁢350 , ... What is the formula for the arithmetic sequence that could represent these balances?

Answer
A
A sub n is equal to 100 plus 50 times open paren n minus 1 close paren
B
an=100⁢n
C
A sub n is equal to 150 plus 50 times open paren n minus 1 close paren
D
an=150⁢n

Explanation

The first balance is $150, and each balance increases by $50, so the sequence has first term 150 and common difference 50. The arithmetic-sequence formula is aₙ = a₁ + d(n − 1), giving aₙ = 150 + 50(n − 1). This is choice C, “150 plus 50 times (n − 1).”

AI-written and checked against the verified answer.

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