Nth Term and Explicit

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

• a_n= 15+(n-1)4

• a_n= -15+(n-1)4

• a_n= -15+(n-1)3

• a_n= 4n -19

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

• a_n= 7(-1)^n-1

• a_n= -7(1)^n-1

• a_n= 7(-1)ⁿ

• a_n= 7(1)^n-1

Find an explicit rule for the nth term of the sequence

• a_n= 36n-337

• a_n= -201+36(n-1)

• a_n= 37n-338

• a_n= -301+37(n-1)

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

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

Find the first four terms of the sequence.

a_n= 3(4)ⁿ

• 12, 48, 192, 768

• 12, 144, 1728, 20736

• 12, 24, 36, 48

• 3, 12, 48, 192

Find the explicit rule for the nth term of the sequence. The second and fifth terms of a geometric sequence are -24 and 1536, respectively.

• a_n= 6(-4)^n-1

• a_n= 6×-4^n-1

• a_n= 6(-4)ⁿ

• a_n= -6(4)^n-1

Find the first 6 terms of the sequence.

• 13, 19, 25, 31, 37, 43

• 7, 13, 19, 25, 31, 37

• 1, 7, 13, 19, 25, 31

• 7, 12, 17, 22, 27, 32