Can you help me plese

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

answer:   he will receive $21093.75 only.

explanation:

since we have given that

cost of house = $180,000

since he has a coinsurance clause of 75%,i.e. he does not fully insured his property.

amount the owner insured for the property = $101,250.

amount he lost in damage = $50,000

amount he will receive from insurance is given by

so, he will receive $21093.75 only.