Nth term

Which formula is used to find the explicit equation for arithmetic sequences?

• a_n = a_(n-1) + d
• a_n = a_(n-1) * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_(n-1) + d
• a_n = a_(n-1) * r
• a_n = a₁ + d(n-1)
• a_n = a₁ * r^n-1

Tags

CCSS.HSF.BF.A.2

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

• a_n = -1-5n
• a_n = -1+5n
• a_n= 1+5n
• a_n = 1-5n

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
1, 4, 16, 64...

• a_n = 3^n-1
• a_n = 2^n-1
• a_n = 5^n-1
• a_n = 4^n-1

Tags

CCSS.HSF.BF.A.2

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is the 7th term?

• -13

• -11

• -18

• -22

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1
• a_n = -2(-5)^n-1
• a_n = -2(5)^n-1
• a_n = 2(5)^n-1

Tags

CCSS.HSF.BF.A.2

Create the formula for the arithmetic sequence:
5, 105, 205, 305...
then find the 22nd term.

• a₂₂ = 1905
• a₂₂ = 2105
• a₂₂ = 2195
• a₂₂ = 2305

Tags

CCSS.HSF.BF.A.2

Create the formula for the arithmetic sequence:
-38, -48, -58, -68...
then find the 37th term.

• a₃₇ = -408
• a₃₇ = -388
• a₃₇ = -398
• a₃₇ = -378

Tags

CCSS.HSF.BF.A.2