Advertisements
Advertisements
प्रश्न
The 7th term of the an AP is -4 and its 13th term is -16. Find the AP.
Advertisements
उत्तर
We have
T7 = a + (n-1) d
⇒ a +6d = -4 ...............(1)
T13 = a +(n-1) d
⇒ a + 12d = -16 .................(2)
On solving (1) and (2), we get
a = 8 and d = - 2
Thus, first term = 8 and common difference = - 2
∴ The term of the AP are 8,6,4,2,.........
APPEARS IN
संबंधित प्रश्न
The first and last terms of an AP are 17 and 350, respectively. If the common difference is 9, how many terms are there, and what is their sum?
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 n terms of an A.P. whose nth terms is given by an = 5 − 6n.
Find the sum of all even integers between 101 and 999.
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 (3y – 1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y.
If the sum of first m terms of an AP is ( 2m2 + 3m) then what is its second term?
Write the next term for the AP` sqrt( 8), sqrt(18), sqrt(32),.........`
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
In an A.P. the 10th term is 46 sum of the 5th and 7th term is 52. Find the A.P.
The A.P. in which 4th term is –15 and 9th term is –30. Find the sum of the first 10 numbers.
If m times the mth term of an A.P. is eqaul to n times nth term then show that the (m + n)th term of the A.P. is zero.
Write the sum of first n odd natural numbers.
The first three terms of an A.P. respectively are 3y − 1, 3y + 5 and 5y + 1. Then, y equals
Q.12
Q.15
Find the sum of first seven numbers which are multiples of 2 as well as of 9.
Read the following passage:
|
India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year. |
- In which year, the production is 29,200 sets?
- Find the production in the 8th year.
OR
Find the production in first 3 years. - Find the difference of the production in 7th year and 4th year.
The sum of the 4th and 8th term of an A.P. is 24 and the sum of the 6th and 10th term of the A.P. is 44. Find the A.P. Also, find the sum of first 25 terms of the A.P.
The 5th term and the 9th term of an Arithmetic Progression are 4 and – 12 respectively.
Find:
- the first term
- common difference
- sum of 16 terms of the AP.
