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Question

The number of terms between 1 to 1000 divisible by 7 are ___.

A
142
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B
143
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C
144
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D
141
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Solution

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
[ an = a + (n - 1) d]

Where,
a = 7,
d = 14 -7 = 7 and
n = Number of terms.

994=7+7n7
994=7n
n=9947
n=142

Hence, the number of terms between 1 to 1000 that are divisible by 7 are 142.

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