Geometric Sequences Explicit and Recursive

What is the general format of a geometric explicit equation?

• t(n) = dn + t(0)

• t(n) = t(0) x m^n

• t(n + 1) = t(n) x m

• t(n + 1) = t(n) x m; t(1) = 1st term

Tags

CCSS.HSF.BF.A.2

What is the general format of a geometric recursive equation?

• t(n + 1) = t(n) + d; t(1) = 1st term

• t(n) = t(0) x m^n

• t(n + 1) = t(n) x m

• t(n + 1) = t(n) x m; t(1) = 1st term

Tags

CCSS.HSF.BF.A.2

In the equation t(n) = t(0) x m^n, what does "m" represent?

• Common multiplier

• Current term

• 0th term

• Common difference

Tags

CCSS.HSF.BF.A.2

In the equation t(n +1) = t(n) x m; t(1) = 1st term, what does t(n + 1) represent?

• Next term

• Current term

• 1st term

• Common multiplier

Tags

CCSS.HSF.BF.A.2

Write the explicit equation for the following sequence: 2, 6, 18, 54, ...

• t(n + 1) = t(n) x 3; t(1) = 2

• t(n) = 2 x 3^n

• t(n) = (2/3) x 3^n

• t(n) = 3n - 2

Tags

CCSS.HSF.LE.A.2

Write the recursive equation for the following sequence: 100, 50, 25, 12.5, ...

• t(n + 1) = t(n) x 1/2; t(1) = 100

• t(100) = t(50)

• t(n + 100) = t(50) x 1/2

• t(n) = 200 x (1/2)^n

Tags

CCSS.HSF.IF.A.3