09-02 Arithmetic & Geometric Sequences

Write an explicit formula for the sequence

6, 10, 14, 18, ...

• $a_n=6+4\left(n-1\right)$

• $a_n=2+4\left(n-1\right)$

• $a_n=6\left(4\right)^{\left(n-1\right)}$

• $a_n=6\left(4\right)\left(n-1\right)$

Tags

CCSS.HSF.BF.A.2

What is the 100th term in the sequence

6, 10, 14, 18, ...

• 402

• 406

• 598

• 604

Tags

CCSS.HSF.BF.A.2

Write an explicit formula for the sequence

-2, 2, -2, 2, -2, 2, ...

• $b_n=-2+2\left(n-1\right)$

• $b_n=-2\left(-1\right)^{\left(n-1\right)}$

• $b_n=-2+4\left(n-1\right)$

• $b_n=-1\left(2\right)^{\left(n-1\right)}$

What is the 100th term in the sequence

-2, 2, -2, 2, -2, 2, ...

• -2

• 2

• 100

• -101

Write an explicit formula for the sequence

2, 6, 18, 54, ...

•  $c_n=2\left(6\right)^{\left(n-1\right)}$ 

•  $c_n=2+3\left(n-1\right)$ 

•  $c_n=2+6\left(n-1\right)$ 

•  $c_n=2\left(3\right)^{\left(n-1\right)}$ 

Tags

CCSS.HSF.BF.A.2

What is the 20th term in the sequence

2, 6, 18, 54, ...

• 2324522934

• 59

• 6973568802

• 3486784403

Tags

CCSS.HSF.BF.A.2

Write an explicit formula for the sequence

-4, 1, 6, 11, ...

•  $d_n=-4\left(5\right)^{\left(n-1\right)}$ 

•  $d_n=5\left(-4\right)^{\left(n-1\right)}$ 

•  $d_n=5-4\left(n-1\right)$ 

•  $d_n=-4+5\left(n-1\right)$ 

What is the 100th term in the sequence

-4, 1, 6, 11, ...

• 441

• 491

• 466

• 391

Write an explicit formula for the sequence

26, 15, 4, -7, ...

•  $e_n=26+11\left(n-1\right)$ 

•  $e_n=26\left(-11\right)^{\left(n-1\right)}$ 

•  $e_n=26-11\left(n-1\right)$ 

•  $e_n=11+26\left(n-1\right)$ 

What is the 100th term in the sequence

26, 15, 4, -7, ...

• -1063

• 1115

• -1074

• 1126