Question

find the 27th term of the following A.P. 9,4,-1,-6,-11,......​

Answer 1

Answer:

Solution:

A=9,n=27

d=4−9

=−5

Putting the values in below formula

a27=a+(n−1)d

a27=9+(27−1)×−5

=9+(−130)

=9−130

=−121

Answer 2

Answer:

$\huge{\underline{\underline{Given→}}}$

• $\mathrm\green{A.P=9,4,-1,-6-11......}$
• $\mathrm\green{a=9}$
• $\mathrm\green{d=-5}$

$\huge{\underline{\underline{To\:Find→}}}$

$\mathrm\purple{→27^{th}\:term\:of\:the\:given\:A.P}$

$\huge{\underline{\underline{Answer→}}}$

$\mathrm\blue{→an=a+(n-1)d}$

$\mathrm\blue{→a27=a+(27-1)d}$

$\mathrm\blue{→a27=a+(26)d}$

$\mathrm\blue{→a27=9+(26)-5}$

$\mathrm\blue{→a27=9+(-130)}$

$\mathrm\blue{→a27=9-130}$

$\mathrm\blue{→a27=-121}$

$\sf{\boxed{\boxed{\pink{→a27=-121✔}}}}$

☞ Hence 27th term of the given A.P is -121 which is the required answer.

HOPE IT HELPS.