The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
What is an arithmetic sequence?
An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.
The nth term is an arithmetic sequence is expressed as;
aₙ = a₁ + ( n - 1 )d
Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.
Given the data in the question;
- n = 98
- a₁ = 8
- d = 24 - 8 or 40 - 24 = 16
- 98th term of the arithmetic sequence a₉₈ = ?
We substitute our given values into the expression above.
aₙ = a₁ + ( n - 1 )d
a₉₈ = 8 + ( 98 - 1 )16
a₉₈ = 8 + ( 97 )16
a₉₈ = 8 + 1552
a₉₈ = 1560
Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).
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