Question

if the first term and 10th term is zero then find 2020th term​

Answer 1

Answer:

$\large\boxed{\sf{0}}$

Step-by-step explanation:

Given for an AP

First term, a = 0

Let the common difference be 'd'.

Also, it's given that,

Tenth term = 0

But, we know that,

Tenth term = a + 9d

Therefore, we will get,

=> a + 9d = 0

=> 0 + 9d = 0

=> 9d = 0

=> d = 0/9

=> d = 0

Therefore, common difference = 0

Now,to find the 2020th term.

We know that,

2020th term = a + 2019d

Substituting the values, we get,

=> 2020th term = 0 + (2019×0)

=> 2020th term = 0 + 0

=> 2020th term = 0

Hence, required 2020th term = 0

Answer 2

Given: The first and tenth terms of the AP are both zero.

To find: The 2020th term.

Answer:

First term ⇒ a = 0.

The general form of a term is:

$\bf a_n\ =\ a\ +\ (n\ -\ 1)d$

Tenth term ⇒ a + (10 - 1)d = a + 9d = 0.

Using the value of a [from the first term] in the form of the tenth term to obtain d [common difference],

0 + 9d = 0

9d = 0 - 0

d = 0/9

d = 0

Therefore, the common difference is 0.

Now, to find the 2020th term.

$\tt a_2_0_2_0\ =\ a\ +\ (2020\ -\ 1)d\\\\\\a_2_0_2_0\ =\ 0\ +\ (2019)0\\\\\\\bf a_2_0_2_0\ =\ 0$

Therefore, the 2020th term is 0.