Find the indicated term of the given arithmetic sequence. a1=45, d= -3, n=10

In this sequence, we're given the first term, which is 45.

The difference between each term is -3, which means 3 will be subtracted in each term.

We're asked to find the value of the tenth term, and we can do so by using this formula:

a(n) = a(1) + d(n - 1)

Replace values.

a(10) = 45 + -3(9)

a(10) = 18

The tenth term = 18.

Step-by-step explanation:

The general form of arithmetic sequence Xn = a1 +(n -1)d

Given: a1 = 45, d = -3 and n = 10

Now plug in the given values in the general form to get the answer.

X10 = 45 + (10 -1)(-3)

X10 = 45 + 9*-3

X10 = 45 -27

X10 = 18

Therefore, the tenth term = 18.

Hope this will helpful.

Thank you.

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step-by-step explanation: