16 th term of arithmetic sequence is 137.
What is an arithmetic sequence?
An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.
Give arithmetic sequence
2, 11,20, .....
[tex]a_{1} =2[/tex]
n = 16
d = [tex]a_{2}-a_{1} = 11-2 = 9[/tex]
d = 9
Arithmetic sequence formula:
[tex]a_{n}= a_{1} +(n-1)d[/tex]
[tex]a_{16} =2+(16-1)9[/tex]
[tex]a_{16} =2+15 \times 9[/tex]
[tex]a_{16}=137[/tex]
16 th term of arithmetic sequence is 137.
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