Question

1. Find the 40th term of the AP: 10, 7, 4, ....​

Answer 1

Answer:

-41 is the 17th term of the A.P 10, 7, 4,...

Step-by-step explanation:

To find : Which term of the AP 10, 7, 4 is -41 ?

Solution :

Arithmetic progression series is 10, 7, 4,..

Where, the first term is a=10

The common difference is d=7-10=-3d=7−10=−3

Let the nth term of AP is a_n=-41a

n

=−41

The nth term formula of A.P is a_n=a+(n-1)da

n

=a+(n−1)d

-41=10+(n-1)(-3)−41=10+(n−1)(−3)

-41=10-3n+3−41=10−3n+3

-41=13-3n−41=13−3n

3n=41+103n=41+10

3n=513n=51

n=\frac{51}{3}n=

3

51

n=17n=17

Therefore, -41 is the 17th term of the A.P 10, 7, 4,...

Answer 2

Step-by-step explanation:

-116

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