Question

which term of the AP 3,8,13,18.........is 258​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\large\boxed{\star\:\:\:a_{52}=258\:\:\:\star}$

Step-by-step explanation:

❈ Given:-

    A.P. :-3,8,13,18... , where a=3, d=5.

❈ To Find:-

  Which term of the A.P. is 258​?

❈ Formula Applied:-

  aₙ=a+(n-1)d

❈ Solution:-

    aₙ=a+(n-1)d, where aₙ=258, d=5, a=3.

⇒258=3+[(n-1)×(5)]

⇒258-3=5n-5

⇒255+5=5n

⇒5n=260

$\implies {n=\frac{260}{5} }$

$\implies\boxed{n=52}$

∴ 52th of the A.P. is 258.