Question

how many numbers are there in between 10 to 200 which are divisible by 7

Answer 1

The a. P is 14, 21, 28........, 196
A=14
D=7
An=196
An=a+(n-1) d
196=14+(n-1) 7
196=14+7n-7
196=7+7n
196-7=7n
189=7n
N=189÷7
N=27
27 no. Are divisible by 7 between 10 and 200

Answer 2

Answer:

There are 27 terms in between 10 and 200.

Step-by-step explanation:

Given : Numbers between 10 to 200.

To find : How many numbers are there in between 10 to 200 which are divisible by 7?

Solution :

According to question,

The A.P series form i.e, 14, 21, 28........, 196

Where, a is the first term a=14

d is the common difference d=7

Last term is l=196

We have to find the number of terms i.e, n

So, Applying last term formula,

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

$196=14+(n-1)7\\196=14+7n-7\\196=7+7n\\196-7=7n\\189=7n\\n=\frac{189}{7}\\n=27$

Therefore, There are 27 terms in between 10 and 200.