which term of the sequence 4,9,14,19.....is 299
Answers
Concept:
Sequence refers to a collection of numbers that have been arranged in a specific order and in accordance with a predetermined rule.
An arithmetic progression or arithmetic sequence is a collection of numbers with a constant difference between the terms.
An arithmetic sequence's nth term is determined by the formula aₙ = a+(n-1)d.
Given:
The sequence 4,9,14,19,....
Find:
The term of the sequence that is equal to 299.
Solution:
Sequence 4,9,14,19,... is an arithmetic progression.
The first term of the sequence is a = 4.
The common difference in the sequence is d = 5.
Let 299 be the nth term of the sequence.
The formula for the nth term of an arithmetic sequence is:
aₙ = a+(n-1)d
299 = 4 + (n-1)5
295 = (n-1)5
n -1 = 59
n = 60
Therefore, the 60th term of the sequence is 299.
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