Question

3 terms are in AP such that their sum is 18. The sum of the first 2 terms is six more than the sum of the last 2 terms. Find the last term?​

Answer 1

Answer:

LAST TERM IS 3

Step-by-step explanation:

let the 3 terms be a-d , a , a+d .These are in AP

given that their sum is 18 , therefore.

a-d + a + a+d = 18

3a =18

a = 6

also, a-d + a = 6+ a + a+d

d = -3

therefore the last number is a+d = 3 .

HOPE IT HELPED.

Answer 2

Mark Brainlist If it's helpful !!

Lets assume the AP is a−d,a,a+d.

then,

a−d+a+a+d=18

3a=18⇒a=6

so the series is 6-d , 6 , 6+d

6-d + 6 = 6 + 6 + d + 6

2d = -6

d = -3

now the AP series is 9 , 6 , 3

so the last term is 3 .