13. Sequences, Series, and the Binomial Theorem

Find the common difference of the following sequence.

(A) $-9,-4,1,6,\dots$

Find the common difference of the following sequence.

(B) $\frac{7}{4},\frac{5}{4},\frac{3}{4},\frac{1}{4},\dots$

Write the first 5 terms of the arithmetic sequence, given the first term and the common difference.

(A) $a_1=-12$; $d=-5$

Write the first 5 terms of the arithmetic sequence, given the first term and the common difference.

(B) $a_1=\frac{3}{2}$; $d=\frac{1}{4}$

Write a general formula for the arithmetic sequence given.

(A) $-5,-12,-19,-26,\dots$

Write a general formula for the arithmetic sequence given.

(B) $\frac{1}{2},\frac{5}{6},\frac{7}{6},\frac{3}{2},\dots$

Find the indicated term of each arithmetic sequence.

(A) $a_n=7+3(n-1)$

Find $a_{12}$.

Find the indicated term of each arithmetic sequence.

(B) $a_n=\frac{5}{2}+\frac{3(n-1)}{4}$

Find $a_6$.