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Nuetrik [128]
3 years ago
14

What is the 100th term of the arithmetic sequence? 3, 8, 13, 18, …

Mathematics
2 answers:
zzz [600]3 years ago
7 0
First work out the nth term then the 100th term:

the difference between the numbers is: 5
and that zero term is: -2

so the nth term is: 5n - 2

-------------------------------------------------------------
now using the nth term we replace n with 100,
then we get: 498

the answer is the above in bold
hope it helped :)
Amanda [17]3 years ago
7 0
<span>The answer is B. 498</span><span>
</span>
An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is
A_{n} =A_{1} + (n-1)d
A_{n} is the "n-th" number in the sequence (ex: A_{1} is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 3 so A_{1} =3
8-3=5  , 13-8=5  , and  18-13=5  so d=5 (add 5 to get the next number)

A_{n}=A_{1}+(n-1)d
A_{100}=3+(100-1)(5)
<span>A_{100}=3+(99)(5)
</span><span>A_{100}=3+495
</span><span>A_{100}=498
</span>
The answer is B. 498
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Answer:

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Step-by-step explanation:

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