Respuesta :

Answer:

549

Step-by-step explanation:

Given :-

  • A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

Using formula :-

[tex]:\implies[/tex] T_n = a + ( n -1)d

[tex]:\implies[/tex] T_n = 4 + (110-1)5

[tex]:\implies[/tex] T_110 = 4 + 109*5

[tex]:\implies[/tex] T_110 = 4 + 545

[tex]:\implies[/tex] T_110 = 549 .

Hence the 110 th term is 549 .

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