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

Question

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

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    0
    2021-09-08T22:25:45+00:00

    an =a1 +d(n-1)

    a1 =185

    d = -15

    a6 = 185 -15(6-1)

    a6 = 185 -15*5

    a6 = 185 -75

    a6 = 110

    0
    2021-09-08T22:26:32+00:00

    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.

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