Respuesta :
Answer:
Step-by-step explanation:
d=-27-(-21)=-27+21=-6
[tex]t_{23}=-21+(23-1)(-6)=-21-132=-153[/tex]
The 23rd term of the arithmetic sequence -21, -27, -33, -39....is -153.
What is an Arithmetic Sequence?
- An Arithmetic sequence exists of the form: a, a+d, a+2d, a+3d,......up to n terms. The first term exists a, the common difference is d, n = number of terms. For the calculation using the arithmetic sequence formulas, recognize the AP and find the first term, the number of terms, and the common difference.
An arithmetic sequence exists in a sequence where the difference between each successive pair of terms exists the same. The explicit rule to write the formula for any arithmetic sequence exists this:
[tex]a_{n} = a_{1} + d (n - 1)[/tex]
- An arithmetic sequence lives a sequence where each term increases by adding/subtracting some constant k. This exists in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.
Here,
d=-27-(-21)=-27+21=-6
[tex]$t_{23}=-21+(23-1)(-6)[/tex]
[tex]=-21-132=-153$[/tex]
Hence, The 23rd term of the arithmetic sequence -21, -27, -33, -39....is -153.
To learn more about Arithmetic sequence refer to:
https://brainly.com/question/13711310
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