Question

Find the 11th term from the last term of the ap 27 23 19.4.18 65

Answer 1

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

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

nth term = an = a + (n - 1)d

a11 = -65 + (11 - 1) 4

= -65 + (10 × 4)

= -65 + 40

= -25

Therefore ,

required 11th term = a11 = - 25

Answer 2

${n}^{th}$
=> A = n – 1 (D)
a = 27
d = 23 – 27 = –4

=> 27 = 10 × (–4)

=> 27 = (–40)

=> (–40 + 27)

=> –23

11th term => –23

Hope this helps you ✌✌