Question

Mr. Jones is saving up to buy a new computer for $750. So far he has saved $120. Every day he saves ten dollars towards the new computer. Write an arithmetic sequence that can be used to model the total amount he has saved to make his purchase. Write the formula in the form

aₙ​ =a ₁+d(n−1)

Answer 1

An arithmetic sequence with a common difference of $10 can be used to model the total amount Mr. Jones has saved to make his computer purchase. The formula to represent the sequence is aₙ = $120 + $10(n-1).

Step-by-step explanation:

An arithmetic sequence can be used to model the total amount Mr. Jones has saved to make his computer purchase. The formula for an arithmetic sequence is aₙ = a₁ + d(n-1), where aₙ represents the nth term of the sequence, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, the first term (a₁) is $120 and the common difference (d) is $10. So, the arithmetic sequence that represents the total amount Mr. Jones has saved to make his computer purchase is:

aₙ = $120 + $10(n-1)