Question

find the 10th term of AP 10, 7, 4​

Answer 1

Answer:

The 10th term in given AP = $-17$

Step-by-step explanation:

Given sequence of AP = 10, 7, 4 ..

the problem is about finding 10th term in given series

we know that nth term in AP, $T_{n} = a + (n-1) d$    

here  a = first term of AP = 10

         d = common difference =  $T_{2} - T_{1}$ =  $7-10 =-3$  

10th term in given AP =  $10 + (10-1) (-3)$  

                                    = 10 + $9(-3)$

                                    = $10-27$

                                     = $-17$  

Answer 2

Answer:

The 10th term of AP 10, 7, 4​ is - 17.

Step-by-step explanation:

Given AP is 10, 7, 4, ------

Find 10th term of AP

The first term of AP (a) = 10

The difference of AP = second term - first term = 7 - 10 = -3

n = 10

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

$t_{10} = 10 + (10 - 1)(-3)$

= 10 + 9 (-3)

= 10 - 27

= -17

So,  the 10th term of AP 10, 7, 4​ is - 17.