Find the 100th term of the following arithmetic sequence
5.5, 6, 6.5, 7, ...
2 answers:
Answer:
55
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term (5.5) and d is the common difference (0.5).
So, the n-th term is ...
an = 5.5 +0.5(n -1) = 5.0 +0.5n
For n = 100, the term is ...
a100 = 5.0 +0.5(100) = 55
The 100th term of the sequence is 55.
Answer:
55.
Step-by-step explanation:
The explicit formula for the nth term is a1 + d(n - 1).
Here d = 6 - 5.5 = 0.5 and a1 = 5.5.
So the 100th term = 5.5 + 0.5(100-1)
= 55.
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