Question

19. Find the 10th term of the AP 5, 1, -3, -7, ........?​

Answer 1

Step-by-step explanation:

a = 5

d= a2-a=1-5 =-4

n=10

an=

an = a +( n-1)d

a10 = 5+(10-1) (-4)

a10= 5+(9)(-4)

a10 =5- 36

a10=-31

therefore 10th term of this ap is -31

Answer 2

Given,

A.P. 5, 1, -3, -7

to Find,

The 10th term =?

Solution,

We can solve the question as follows:

It is given that we have to find the 10th term of the A.P. 5, 1, -3, -7.

The nth term of an A.P. is given as:

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

Where,

$a = First\: term$

$n = nth\: term$

$d = Common\: difference$

In the given A.P., the first term is equal to 5.

The common difference is equal to the difference between two consecutive terms. Therefore,

$d = 1 - 5 = -4$

To find the 10th term, we will substitute the given values in the above formula.

$T_{10} = 5 + (10 - 1)(-4)$

     $= 5 + 9*(-4)$

     $= 5 - 36$

     $= - 31$

Hence, the 10th term is equal to -31.