Question

a. an 9. Find the explicit formula for the given sequence. -4,0,4,8,... = 4+ -4(n-1) b. an = – 4 · 8(n − 1) -4 + 4(n − 1) -4 · 4(n-1) c. an d. an

Answer 1

The given sequence is

-4 , 0 , 4 , 8 , ......

the given sequence is arithmetic sequence

because there is a common difference between the terms of the sequence

common difference = 0 - (-4) = 4

as a check = 4 - 0 = 4 and 8 - 4 = 4

and the first term is -4

So,

The explicit formula is an = a1 + d ( n - 1)

an = -4 + 4 ( n - 1)

The answer is option c