Question

Which term of the AP 10, 7, 4 is -41

Answer 1

Answer: 18th term

Step-by-step explanation:

a=10

d= -3

n=?

-41=a+(n-1)d

-41=10-3n+3

n=18

Answer 2

-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 $d=7-10=-3$

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

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

$-41=10+(n-1)(-3)$

$-41=10-3n+3$

$-41=13-3n$

$3n=41+10$

$3n=51$

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

$n=17$

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

#Learn more

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