Question

Suppose a certain cell quadruples itself (splits into four cells) every hour. If a labresearcher begins with 7 cells,

Answer 1

Time (h) 0 1 2 3 4 5

Cells 7 28 112 448 1792 7168

The cell quadruples itself; considering this:

b) Increasing

c) 7 cells

d) r = 4

e) aₙ = r x aₙ ₋ ₁

aₙ = 4 x aₙ ₋ ₁

f) aₙ = a₁ rⁿ ⁻ ¹

aₙ = 28 x 4ⁿ ⁻ ¹

g) a ₁₀ = 28 x 4⁹ = 7340032