Question

Find the first, fourth, and eighth terms of the sequence. A(n) = –5 • 3n–1

a. –45; –1,215; –98,415

b. 1; –3,375; –170,859,375

c. –5; –135; –10,935

d. –15; –405; –32,805

Answer 1

c

Explanation:

Answer 2

C. -5; -135, -10,935

Explanation:

`\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{to}\ A(n)=-5\cdot3^(n-1):\\\\A(1)=-5\cdot3^(1-1)=-5\cdot3^0=-5\cdot1=-5\\\\A(4)=-5\cdot3^(4-1)=-5\cdot3^3=-5\cdot27=-135\\\\A(8)=-5\cdot3^(8-1)=-5\cdot3^7=-5\cdot2,187=-10,935`