Question

is 67 a term of the ap :7,10,13,....?​

Answer 1

Answer:

Yes

Step-by-step explanation:

Given:

a₁ = 7

a₂ = 10

Therefore, d = a₂ - a₁ = 10 - 7 =3

Now, Let 67 be the nth term of AP.

So, we can write:

a + (n-1)d = 67

= 7 + (n-1)3 = 67

= (n-1)3 = 67 -7

= n-1 = 60/3

= n-1 = 20

= n = 21th term

So, 67 is a term of AP.

If n comes to be non natural then 67 would not be a term of AP.

But, here it is.

So,

Answer = Yes

Hope, you got it :-))

Please mark it as brainiest!!

Answer 2

Answer:

yes ; n=21

Step-by-step explanation:

AP=7,10,13....   here a=7; d=10-7=3.

a+(n-1)d=tn

7+(n-1)3=67

7+(3n-3)=67

7+3n-3=67

3n-3=67-7

3n-3=60

3n=63

n=63/3

n=21

( n is always a natural number)here n is natural number so 67 belongs to the given AP.

Hope it helps:)