Solving Arithmetic and Geometric sequence

Question

I have been working with these sequences and having trouble simply solving this equation.

How do you solve:

322.5 = 4a₂ + 1/2

Thanks,

Brian

Answer 1

322.5 = 4a2 + .5

subtract .5 from both sides to get

322 = 4a2 reverse the equality

4a2 = 322 divide both sides by 4

a2 = 322/4 = 80.5

4 goes into 320 80 times

4 goes into 2 0.5

80 plus 0.5 = 80.5 or just use a calculator. punch in 322, division and answer

the nth term = 4 times the previous term minus 1/2. 1/2 = 0.5

322.5 =4a2 - 1/2

322.5 = 4a2 - .5

322 = 4a2

4a2 = 322

4a2/4 = 322/4

a2 = 80.5

Answer 2

Given this equation, you are solving for a₂. Rearrange the equation so that a₂ is isolated on one side of the equation:

322.5 = 4a₂ + 0.5

322 = 4a₂

322/4 = a₂

a₂ = 80.5

It looks like the equation you are providing is after you have plugged in other variables or simplified. Additional context would be helpful, such as the original problem exactly as it is given.