Question

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

Answer 1

Answer: 110

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.

Answer 2

an =a1 +d(n-1)

a1 =185

d = -15

a6 = 185 -15(6-1)

a6 = 185 -15*5

a6 = 185 -75

a6 = 110