Question

check whether 301 is a term of the list of numbers 5,11,17,23
pls ans
wrong and will be reported​

Answer 1

Answer:

$\bigstar{\bold{301\:is\:not\:a\:term\:of\:the\:given\:A.P}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• A.P is 5, 11, 17, 23

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• To check whether 301 is a term of the A.P

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Here we have to find out whether 301 is a term of the A.P or not

→ Let us assume that 301 is the nth term of the given A.P

→ nth term of a A.P is given by

  $a_n=a_1+(n-1)\times d$

  where d = 11 - 5 = 6

→ Substitute the datas,

  301 = 5 + ( n - 1) × 6

  301 = 5 + 6n - 6

  301 = 6n - 1

  6n = 301 + 1

  6n = 302

    n = 302/6

    n = 50.33

→ Here we can see that n is not an integer

→ Hence 301 is not a term of the given A.P

$\boxed{\bold{301\:is\:not\:a\:term\:of\:the\:given\:A.P}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ The nth term of an A.P is given by

  $a_n=a_1+(n-1)\times d$

→ The sum of n terms of an A.P is given by

   $S_n=\dfrac{n}{2} (2a_1+(n-1)\times d)$

  $S_n=\dfrac{n}{2} (a_1+a_n)$

Answer 2

Hope it helps you!!

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