Question

In the ap the 3rd term is 8 and 8th term is 3. Which term of ap is 0

Answer 1

Answer:

11th term

Step-by-step explanation:

AP is 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0..............

Answer 2

Answer:

First term of Arithmetic Progression = a

Common Difference = d

Formula for general term = a + (n-1)d

Where n is the numberof terms

Given:

Third term = 8

a + (3-1)d = 8

a + 2d = 8

Eighth term = 3

a + (8-1)d = 3

a + 7d = 3

By solving the 2 equations simultaneously:

a + 7d = 3

a + 2d = 8

--------

5d = -5

d = -1

And a = 10

To find the term which is zero:

0 = a + (n-1)d

0 = 10 + (n-1)×-1

-10 = (n-1) -1

11 = n

Therefore the 11th term of the AP is zero

Easier method:

When in an AP, the nth term is m and the mth term is n, the (n+m)th term will be 0.

In the given problem,

8+3 = 11th term will be zero