Growth Decay and Sequences

Find the eighth term:

3, 6, 12, 24, ...

What is a₅ for the sequence below?

a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

• a_n = 8 + 3(n-1)

• a_n = 8(3)^n-1

• a_n = 3 + 8(n-1)

• a_n = 3 + 8n

What is the explicit rule for the sequence? 11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11(2)

• a_n = 11(2)^n-1

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147
• -19,683
• -59,049
• 118,098

• 36

• 38

• 40

• 42

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

The current population of India (2021) is 1.393 billion people, at an annual rate of increase of 97%. Which exponential function models the population, in billions of people, of India after x number of years?​

(a)