Question
The number of terms between 1 to 1000 divisible by 7 are ___.
Answer: Option A
:
A
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+7n−7
⇒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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:
A
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+7n−7
⇒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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