Question

Find the 11th term from the last term of AP: 2,4,6,....200​

Answer 1

Answer:

given a. p is 2,4,6,....200

from the last first term a=200

common diff (d) =-2

and n=11

so 11 th term fro last is

(a11)from last=a+(n-1)d

=200+(11-1)*-2

=200+10*-2

=200-20

=180

so 11 term from last is 180.....

Answer 2

${\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}}$

$\underline{\sf{\red{Given}}}$

⠀⠀⠀⠀• A.P 2,4,6.........200

$\underline{\sf{\red{To\:Calculate}}}$

⠀⠀⠀⠀• 11th Term of the A.P

$\underline{\sf{\red{Explanation}}}$

⠀⠀⠀Using Formula

⠀⠀${\boxed{\red{\tt{an= l-(n-1)×d }}}}$

A.p= 200, 198, 196......2

where

a= first term

d= Common difference

☆ an = a+ (n-1)d

a= 200

d= -2

Putting values,

a11= 200+(11-1)×-2

➯ 200+10×-2

➯ 200-20

➯ 180

$\huge\underline\bold\red{Hence}$

⠀

⠀⠀⠀⠀• 11th term from the last is 180

⠀

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⠀⠀⠀⠀⠀⠀ ${\boxed{\red{\tt{</u></strong><strong><u>Additional</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>:</u></strong><strong><u> </u></strong><strong><u>Information</u></strong><strong><u>}}}}$

Let a be the first to term ,d be the common difference and I be the last term of an AP

Then

nth term from the end = {l-(n-1)×d}

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