Question

Find the 11th term from last term of AP 27,23,19,.........,-65​

Answer 1

Here,

d= 23-27 = - 4

l=-65

So,

Ln= l-(n-1)d

L11= - 65-(11-1)-4

L11= - 65-(10)-4

L11= - 65+40

L11= - 25

Answer 2

27 , 23 , 19 ,...., - 65 is an A.P

a = 27

common difference = a2 - a1

d = 23 - 27 = - 4



Rewrite the A..P ,

- 65 , - 61 , - 57 , ... 19 , 23 , 27

here ,

first term = a = - 65

common difference = a2 - a1

d = - 61 - ( - 65 )

d = -61 + 65

d = 4

n = 11

n is number of terms in an AP


According to the formula,

➡An= a+(n-1)×d

➡an = a + ( n - 1 )d

➡a11 = -65 + ( 11 - 1 ) 4

➡-65 + ( 10 × 4 )

➡ -65 + 40

➡-25



So the 11th term from the last is -25

I Hope this helps ya!

G'd day buddy.

~@BERYLIPS❤