Find the first six terms of the sequence.

a₁= -4, a_n= a_n-1+ 7

-4, 3, 10, 17, 24, 31

-4, 7, 14, 21, 28, 35

3, 10, 17, 24, 31, 38

0, 7, 14, 21, 28, 35

Find an equation for the nth term of the arithmetic sequence.

-1, 2, 5, 8, ...

a_n= -1 + 3(n)

a_n= -1 + 3(n - 1)

a_n= -1 + 3

a_n= -1 + 3(n + 1)

Find an equation for the nth term of the arithmetic sequence.

-3, -5, -7, -9, ...

a_n= -3 - 2

a_n= -3 + -2(n)

a_n= -3 + -2(n + 1)

a_n= -3 + -2(n - 1)

Find an equation for the nth term of the arithmetic sequence.

a₁₉= -58, a₂₁= -164

a_n= 896 - 53(n - 2)

a_n= 896 - 53(n - 1)

a_n= 896 + 53(n + 1)

a_n= 896 - 53(n + 1)

Find an explicit rule for the nth term of the sequence.

7, 21, 63, 189, ...

a_n= 7 3ⁿ

a_n= 7 3^{n - 1}

a_n= 3 7^{n - 1}

a_n= 7 3^{n + 1}

Find an explicit rule for the nth term of the sequence.

-3, -15, -75, -375, ...

a_n= 5 -3^{n + 1}

a_n= -3 5^{n - 1}

a_n= 5 -3ⁿ

a_n= -3 5ⁿ

^{Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.}

^a_n= 2 3^{n - 1}

a_n= 2 (-3)^{n - 1}

a_n= 2 3ⁿ

a_n= 2 (-3)^{n + 1}