Advertisements
Advertisements
प्रश्न
How many multiples of 4 lie between 10 and 250?
Advertisements
उत्तर
Numbers between 10 and 250 which are multiple of 4 are as follows:
12, 16, 20, 24, ........., 248
Clearly this forms an A.P. with first term a = 12,
Common difference d = 4 and last term I = 248
⇒ 248 = 12 + (n – 1)(4)
⇒ 248 = 12 + 4n – 4
⇒ 248 = 4n + 8
⇒ 4n = 248 – 8
⇒ 4n = 240
⇒ n = `240/4`
⇒ n = 60
Thus, 60 multiples of 4 lie between 10 and 250.
APPEARS IN
संबंधित प्रश्न
The sum of three numbers in A.P. is –3, and their product is 8. Find the numbers
Find the sum of the following APs.
`1/15, 1/12, 1/10`, ......, to 11 terms.
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Show that a1, a2,..., an... form an AP where an is defined as below:
an = 3 + 4n
Also, find the sum of the first 15 terms.
The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceed the second term by 6, find three terms.
Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.
In an A.P., if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 terms?
Is -150 a term of the AP 11, 8, 5, 2, ……?
Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ..... is the first negative term?
A sum of ₹2800 is to be used to award four prizes. If each prize after the first is ₹200 less than the preceding prize, find the value of each of the prizes
If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.
The fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.
Write an A.P. whose first term is a and common difference is d in the following.
a = –3, d = 0
If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].
A piece of equipment cost a certain factory Rs 60,000. If it depreciates in value, 15% the first, 13.5% the next year, 12% the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?
If in an A.P. Sn = n2p and Sm = m2p, where Sr denotes the sum of r terms of the A.P., then Sp is equal to
The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is
If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\] are in A.P. Then, x =
The sum of n terms of two A.P.'s are in the ratio 5n + 9 : 9n + 6. Then, the ratio of their 18th term is
The sum of first 20 odd natural numbers is
Q.15
If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:
If an = 3 – 4n, show that a1, a2, a3,... form an AP. Also find S20.
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?
A merchant borrows ₹ 1000 and agrees to repay its interest ₹ 140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 10. Find the amount of the first instalment
If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are ______.
Find the sum of the integers between 100 and 200 that are
- divisible by 9
- not divisible by 9
[Hint (ii) : These numbers will be : Total numbers – Total numbers divisible by 9]
In an A.P., if Sn = 3n2 + 5n and ak = 164, find the value of k.
In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021-22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year. |
Based on the above information answer the following questions.
- Find the production in the 1st year
- Find the production in the 12th year.
- Find the total production in first 10 years.
[OR]
In how many years will the total production reach 31200 cars?
k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is ______.
