Question

The number of terms between 200 and 800 which are divisible by 7 is

a) 80
b) 86
c) 85
d) 87​

Answer 1

B

Explanation:

Mathematically, the numbers that are divisible by 7 here forms an arithmetic sequence, with 203 being the first term

Now, we need the last term

The last term before 800 is 798

Now, the nth term of a sequence (arithmetic) can be represented as;

Tn = a + (n-1)d

Kindly note that the numbers have 7 as their common difference

Thus;

798 = 203 + (n-1)7

798-203 = 7n - 7

7n = 798 -203 + 7

7n = 602

n = 602/7

n = 86