Question

Write the explicit formula for an arithmetic formula whose tenth term is 75.

Answer 1

Answer:

Many solutions including t(n) = 7n +5

Step-by-step explanation:

Explicit Formula form: t(n) = mn + b

We know that t(10) = 75

So, 75 = m(10) + b

Now there are many solutions you can come up with here to make the equation true as you have 2 undefined variables. Examples:

1. t(n) = 7n + 5 => t(10) = 7(10) +5 => t(10) = 70 + 5 = 75
2. t(n) = 2n + 55 => t(10) = 2(10) + 55 => t(10) = 20 + 55 = 75