Question

if the n term of the AP 6,3,0 .....is the same as the n term of the AP 2,0,-2..... find N​

Answer 1

Step-by-step explanation:

tn = {6 + (n-1) (-3)} ---(1)

For the other A.P,

tn = {2 + (n-1) (-2)} ---(2)

By the problem (1) and (2) are equal

So 6 - 3n + 3 = 2 - 2n + 2

OR n = 5

Let us verify the same

6, 3, 0, -3, -6

2, 0, -2, -4, -6

Yes both have -6 as the fifth term.

Answer 2

Step-by-step explanation:

tn=(6+(n-1) (-3))---(1)

for other AP

tn=(2+(n-1) (-2) )---(2)

By the problem (1)and (2) are equal

so 6-3n+3=2-2n+2

or n=5