Question

In an AP d=10 find t6-t2

Answer 1

40 it is answer of t6-t2

Answer 2

The t6-t2 will be 40.

Given:

In an AP d=10.

To Find:

The t6-t2.

Solution:

To find the t6-t2, we will follow the following steps:

As we know,

In an AP, the nth term is given by:

$tn = a + (n - 1)d$

Here, a is the first term and d is the common difference between two consecutive terms.

According to the question:

d = 10

So,

t6 term will be:

$t6 = a + (6 - 1)10 = a + 5 \times 10 = a + 50$

Now,

t2 term will be:

$t2 = a + (2 - 1)10 = a + 10$

Now,

Subtracting the t6 by t2 we get,

$t6 - t2 = a + 50 -( a + 10) = a + 50 -a - 10 = 50 - 10 = 40$

Henceforth, the t6-t2 will be 40.

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