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
Answer:
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.
