Can someone explain how to do part b?

3

Step-by-step explanation:

4(a) The first 3 terms are:

₅C₀ (3)⁵ (bx)⁰ = 1 × 3⁵ × 1 = 243

₅C₁ (3)⁴ (bx)¹ = 5 × 3⁴ × bx = 405b x

₅C₂ (3)³ (bx)² = 10 × 3³ × (bx)² = 270b² x²

4(b) The coefficient of x² (the third term) is twice the coefficient of x (the second term).

270b² = 2 (405 b)

270b² = 810b

270b = 810

b = 3

3

Step-by-step explanation:

Term in x²: 270b²x²

Coefficient: 270b²

Term in x: 405bx

Coefficient: 405b

270b² = 2(405b)

270b² - 810b = 0

270b(b - 3) = 0

b = 0, 3

Since b is non-zero,

b = 3

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the correct answer is c

good luck love