The number of terms between 1 to 1000 divisible by 7 are ___.
Options:
A .  
142
B .  
143
C .  
144
D .  
141
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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