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The nth term of an arithmetic progressionis a=4n+ 5 then the god term is​

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QUESTION :- The nth term of an arithmetic progression is an=4n+5 then the 3rd term is ?

Solution :-

we know that,

  • nth term of an AP = a + (n - 1)d
  • a = first term .
  • d = common difference .

so,

→ a + (n - 1)d = 4n + 5

→ a + (n - 1)d = 4n - 4 + 4 + 5

→ a + (n - 1)d = 9 + 4n - 4

→ a + (n - 1)d = 9 + (n - 1)4

comparing we get,

  • a = 9
  • d = 4

therefore,

→ a3 = a + (3 - 1)d

→ a3 = 9 + 2*4

→ a3 = 9 + 8

→ a3 = 17 (Ans.)

Learn more :-

6,13 .20 form an ap then FIND the 100TH term

brainly.in/question/35448496


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