What is the sixth term of a number pattern that begins with 185 and subtracts 15
2 answers:
an =a1 +d(n-1)
a1 =185
d = -15
a6 = 185 -15(6-1)
a6 = 185 -15*5
a6 = 185 -75
a6 = 110
Answer: 110
Step-by-step explanation:
The nth term of an arithmetic progression is given by :-
, where a is the first term and d is the common difference .
Given : The first term of the pattern ![:a= 185](https://tex.z-dn.net/?f=%3Aa%3D%20185)
Common difference ![:d= -15](https://tex.z-dn.net/?f=%3Ad%3D%20-15)
Now, for n=6 , we have
![a_6=185+(6-1)(-15)\\\\\Rightarrow\ a_6=185-75\\\\\Rightarrow\ a_6=110](https://tex.z-dn.net/?f=a_6%3D185%2B%286-1%29%28-15%29%5C%5C%5C%5C%5CRightarrow%5C%20a_6%3D185-75%5C%5C%5C%5C%5CRightarrow%5C%20a_6%3D110)
Hence, the sixth term of the number pattern will be 110.
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