Find the 93rd term of the arithmetic sequence -11, -7, -3, ...
Answers
Step-by-step explanation:
a93 = -11 + (93-1)4
a93 = -11 +92 ×4
a93 = -11 +368
a93 = 357
The 93rd term of the arithmetic sequence -11, -7,-3,... is 357 by using the arithmetic sequence formula aₙ= a+(n-1)×d.
Given that,
Arithmetic sequence is -11,-7,-3,...
We have to find the 93rd term of the arithmetic sequence.
We know that,
What is arithmetic sequence?
Arithmetic sequences can be defined in two different ways. It is a "series where the differences between every two succeeding terms are the same" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term."
We have formula for finding the term that is
aₙ= a+(n-1)×d
Here,
a is first term that is -11
n is the term which we want that is 93
d is the common difference that is -7-(-11) = 4
So,
a₉₃ = -11+(93-1)4 = -11+368 = 357
Therefore, The 93rd term of the arithmetic sequence -11, -7,-3,... is 357 by using the arithmetic sequence formula aₙ= a+(n-1)×d.
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