Question

What is the sixth term of a number pattern that begins with 185 and subtracts 15

Answer 1

an =a1 +d(n-1)

a1 =185

d = -15

a6 = 185 -15(6-1)

a6 = 185 -15*5

a6 = 185 -75

a6 = 110

Answer 2

Answer: 110

Step-by-step explanation:

The nth term of an arithmetic progression is given by :-

$a_n=a+(n-1)d$, where a is the first term and d is the common difference .

Given : The first term of the pattern $:a= 185$

Common difference $:d= -15$

Now, for n=6 , we have

$a_6=185+(6-1)(-15)\\\\\Rightarrow\ a_6=185-75\\\\\Rightarrow\ a_6=110$

Hence, the sixth term of the number pattern will be 110.