9. Sequences, Series, & Induction

Find the general formula for the arithmetic sequence below. Without using a recursive formula, calculate the $30^{\(\th\)}$ term.

$\(\left\]\lbrace\)-9,-4,1,6,\(\ldots\[\right\]\rbrace\)$

Write a recursive formula for the arithmetic sequence.

$\(\left\]\lbrace\)8,2,-4,-10,\(\ldots\[\right\]\rbrace\)$

Write the first six terms of each arithmetic sequence. a₁ = 200, d = 20

Write the first six terms of each arithmetic sequence.

$a_1=-8,d=5$

Write the first six terms of each arithmetic sequence. a₁ = 300, d= -90

Write the first six terms of each arithmetic sequence. a₁= 5/2, d = -1/2

Write the first six terms of each arithmetic sequence. a_n = a_n-1 +6, a₁ = −9

Write the first six terms of each arithmetic sequence. a_n = a_n-1 -10, a₁ = 30

Write the first six terms of each arithmetic sequence. a_n = a_n-1 -0.4, a₁ = 1.6

In Exercises 12–15, write the first six terms of each arithmetic sequence. a1 = 3/2, d = -1/2