Geometric Sequences and Exponential Functions

What is the equation of this table?

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

Write the explicit rule for the geometric sequence:
2, -12, 72, ...

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

In an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• INITIAL VALUE

• COMMON RATIO

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Find the common ratio for the geometric sequence.

• 2

• -2

• 1/2

• -1/2

Which of the equations below represent this table of values?

• y = 3(36)^x

• y = 36(3)^x

• y = 3(⅓)^x

• y = 36(⅓)^x

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither