In A.P, if the 8th term is 88 and the 88th term is 8, then what is the 100th term?

In an Arithmetic Progression (A.P), the nth term is given by the formula a + (n-1)d, where a is the first term and d is the common difference.

Given that the 8th term is 88, we can write the equation as: a + 7d = 88 ---- (1)

Also given that the 88th term is 8, we can write the equation as: a + 87d = 8 ---- (2)

Subtract equation (2) from equation (1), we get: -80d = 80 Solving for d, we get d = -1

Substitute d = -1 in equation (1), we get: a + 7(-1) = 88 a - 7 = 88 Solving for a, we get a = 95

Now, we can find the 100th term using the formula a + (n-1)d: 95 + (100-1)(-1) = 95 - 99 = -4

So, the 100th term of the A.P is -4.