Respuesta :

wegnerkolmp2741o

an =a1 +d(n-1)

a1 =185

d = -15

a6 = 185 -15(6-1)

a6 = 185 -15*5

a6 = 185 -75

a6 = 110

JeanaShupp

Answer: 110

Step-by-step explanation:

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

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

Given : The first term of the pattern [tex]:a= 185[/tex]

Common difference [tex]:d= -15[/tex]

Now, for n=6 , we have

[tex]a_6=185+(6-1)(-15)\\\\\Rightarrow\ a_6=185-75\\\\\Rightarrow\ a_6=110[/tex]

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

Otras preguntas