Question

Priyanka and Ethan were asked to find an explicit formula for the sequence -3, -14, -15, -36,.. Priyanka said the formula is g(n) = -3 -11n.Ethan said the formula is g(n) = -3 +11n.Which one or them is right?A) Priyanka B) EthanC) bothD) neither

Answer 1

0the sequence is

-3 -14 -15 -36

Let's try the Priyankas formula g(n) = -3 -11n.

n=0

g(0)=-3-11(0)=-3

n=1

g(1)=-3-11(1)=-14

n=2

g(2)=-3-11(2)=-25

n=2 it is not -15 so Priyanka's formula is wrong

Let's try the Ethan's formula g(n) = -3 +11n.

n=0

g(0)=-3+11(0)=-3

n=1

g(1)=-3+11(1)=8

n=1 it is not -14 so Ethan's formula is wrong

neither is right

the answer is D.