Question

Which term of the A.P: - 45, - 41, - 37, ……….. is its first positive term? ​

Answer 1

Answer:

-37 is the first positive term I think so...

Answer 2

Answer:

Thirteenth term

Step-by-step explanation:

As we know that the moment the term is zero the very next term will be positive  

Thus

$a = -45$

$d = -41 - (-45) = - 41 + 45 = 4$

$t_{n} = 1$

We know that

$t_{n} = a + (n - 1)d$

1 = -45 + (n - 1)(4)

46 = (n - 1)(4)

n - 1 = 46/4

Since it is in fraction which means 1 is not the positive term

Now we will try with 2 and so on until the value of n comes in a whole number

Lets try with 3 this time

$a = -45$

$d = 4$

$t_{n} = 3$

We know that

$t_{n} = a + (n - 1)d$

3 = - 45 + (n - 1)(4)

3 + 45 = (n - 1)(4)

48/4 = n-1

12 = n - 1

n = 13

Thus thirteenth term of this AP will be a positive term

I hope this helps you..........