Question

The number of terms from 1 to 1000 divisible by 7 are

• A. 142
• B. 143
• C. 144
• D. 141

Answer 1

The correct option is A

142

The required sequence will be 7, 14, 21, 28, . . . . 994.
Now, the number of terms divisible by 7 will be
994 = 7 + (n - 1)7
[$\because a_n$ = a + (n - 1) d]
Here, a = 7, d = 14 - 7 = 7
$\therefore$ 142 = 1 + (n - 1)
$\Rightarrow$ n = 142