Function probkem

Question

Write the first four terms of the following sequence

f(n) = 1.5n + 6

Answer 1

f(n) = 1.5n+6

f(1) = 7.5

f(2) = 9

f(3) = 10.5

f(4) = 12

7.5,9,10.5,12, ...

f(5) = 1.5(5)+6 = 7.5+6 = 13.5

it's an arithemetic sequence

nth term = an = a1 + (n-1)d where a1 = 1st term, d= common difference

an= 7.5+ (n-1)(1.5)

a4 = 7.5+3(1.5) = 12

a3 = 7.5+2(1.5) = 10.5

a2 = 7.5+1(1.5) = 9

a1 = 7.5