Use a calculator to evaluate the following expression. Approximate your answer, when necessary.

30!/225

Rewrite the following sum using summation notation. Represent the index and lower limit of the summation as k and 1, respectively. Do not evaluate.

7 + 7²/2 + 7³/3 + ... + 7ⁿ/n

Write the equation that describes the nth term of the following arithmetic sequence: a_n = a_n-1 + 12, a₁ = 20

Then, use the equation to determine the 40th term of the sequence.

Write the equation that describes the nth term of the following arithmetic sequence: 17, 9, 1, -7,...

Then, use the equation to determine the 25th term of the sequence.

Using the equation of the nth term of the sequence, evaluate a₂/a₁, a₃/a₂, a₄/a₃ and a₅/a₄: a_n = 5(7)ⁿ.

What do you notice?

Determine the missing terms in the given geometric sequence.

81, a₂, a₃, -24