Advertisements
Advertisements
Question
Find how many integers between 200 and 500 are divisible by 8.
Advertisements
Solution
First term between 200 and 500 divisible by 8 is 208, and the last term is 496.
So, first term (a) = 208
Common difference (d) = 8
an = a + (n − 1)d = 496
⇒208 + (n − 1)8 = 496
⇒(n−1)8 = 288
⇒ n − 1 = 36
⇒n=37
Hence, there are 37 integers between 200 and 500 which are divisible by 8.
APPEARS IN
RELATED QUESTIONS
Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly saving by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.
What value is generated in the above situation?
The first and the last terms of an AP are 8 and 65 respectively. If the sum of all its terms is 730, find its common difference.
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line.
A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
[Hint: to pick up the first potato and the second potato, the total distance (in metres) run by a competitor is 2 × 5 + 2 ×(5 + 3)]
Find the sum of the following arithmetic progressions:
41, 36, 31, ... to 12 terms
If the sum of a certain number of terms starting from first term of an A.P. is 25, 22, 19, ..., is 116. Find the last term.
Which term of the AP 3, 15, 27, 39, ...... will be 120 more than its 21st term?
In a ‘Mahila Bachat Gat’, Sharvari invested ₹ 2 on first day, ₹ 4 on second day and ₹ 6 on third day. If she saves like this, then what would be her total savings in the month of February 2010?
Find the sum:
`4 - 1/n + 4 - 2/n + 4 - 3/n + ...` upto n terms
Find the sum of first 'n' even natural numbers.
The sum of 41 terms of an A.P. with middle term 40 is ______.
