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sladkih [1.3K]
3 years ago
9

The 100th term in 8, 13, 18,23, 28,...

Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

The 100th term of the sequence is 503.

Step-by-step explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by a_n=a+(n-1)d

The 100th term is given by,

a_{100}=8+(100-1)5

a_{100}=8+(99)5

a_{100}=8+495

a_{100}=503

The 100th term of the sequence is 503.

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