Question

find the n th term of the a.p whose 6th term is -7 and 10th term is -19 ​

Answer 1

Answer:

11-3n is answer........

Answer 2

The nth term of the A.P is $a_n=-3n+11$.

Step-by-step explanation:

Given : The A.P whose 6th term is -7 and 10th term is -19 .

To find : The nth term of the A.P ?

Solution :

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

The A.P whose 6th term is -7.

$a+5d=-7$  .....(1)

The A.P whose 10th term is -19.

$a+9d=-19$  .....(2)

Subtract (1) and (2),

$a+5d-a-9d=-7-(-19)$

$-4d=12$

$d=-\frac{12}{4}$

$d=-3$

Substitute in (1),

$a+5(-3)=-7$

$a-15=-7$

$a=-7+15$

$a=8$

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

$a_n=8+(n-1)-3$

$a_n=8-3n+3$

$a_n=-3n+11$

#Learn more

Find the sum of n terms of an A.P whose n th term is given by tn = 5 - 6n.

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