Answer:
The nth term of the series is 5-9n.
Step-by-step explanation:
Given : Series 14, 23, 32, 41,..
To find : The nth term of the series ?
Solution :
The given series 14, 23, 32, 41,.. is an arithmetic series as the difference between term is common.
Where, first term is a=14 and common difference d=23-14=9
The nth term of the arithmetic series is \(a_n=a+(n-1)d\)
\(a_n=a+(n-1)d\)
\(a_n=14+(n-1)9\)
\(a_n=14+9n-9\)
\(a_n=5-9n\)
Therefore, The nth term of the series is 5-9n.
