Respuesta :

1.14
2.23
3.32
4.41
5.50
6.59
7.68
8.77
9.86

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 [tex]a_n=a+(n-1)d[/tex]

[tex]a_n=a+(n-1)d[/tex]

[tex]a_n=14+(n-1)9[/tex]

[tex]a_n=14+9n-9[/tex]

[tex]a_n=5-9n[/tex]

Therefore, The nth term of the series is 5-9n.

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