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Sagot :
The 100th term in the sequence 5, 9, 13, 17,.. is term 401.
The arithmetic sequence:
5, 9, 13, 17,...
To find,
Which term of the arithmetic sequence 5, 9, 13, 17,...is 401.
Concept,
For a given A.P. sequence if the first term is 'a', the common difference is 'd', then the aₙth term is given by:
aₙ = a + (n - 1)d....(1)
Calculation,
Here in the given sequence:
5, 9, 13, 17,..
a = 5, d = 9 - 5 = 4, and aₙ = 401, n = n, substitute in equation (1)
401 = 5 + (n - 1)4
⇒ 396 = (n - 1)4
⇒ n - 1 = 99
⇒ n = 100
Therefore, the 100th term in the sequence 5, 9, 13, 17,.. is term 401.
Learn more about Arithmetic Sequence at:
https://brainly.com/question/6561461
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