Advertisements
Advertisements
प्रश्न
If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.
Advertisements
उत्तर
It is given that k,(2k -1)and (2k +1) are the three successive terms of an AP.
∴ (2k-1) - k= (2k+1) - (2k-1)
⇒ k - 1 =2
⇒ k = 3
Hence, the value of k is 3.
APPEARS IN
संबंधित प्रश्न
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?
Find the sum given below:
`7 + 10 1/2 + 14 + ... + 84`
Find the sum of the first 15 terms of each of the following sequences having the nth term as
yn = 9 − 5n
Find the sum of two middle most terms of the AP `-4/3, -1 (-2)/3,..., 4 1/3.`
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 (2p – 1), 7, 3p are in AP, find the value of p.
Find the first term and common difference for the A.P.
127, 135, 143, 151,...
In an A.P. sum of three consecutive terms is 27 and their product is 504, find the terms.
(Assume that three consecutive terms in A.P. are a – d, a, a + d).
Find the sum of n terms of the series \[\left( 4 - \frac{1}{n} \right) + \left( 4 - \frac{2}{n} \right) + \left( 4 - \frac{3}{n} \right) + . . . . . . . . . .\]
The first and the last terms of an A.P. are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.
The sum of first n terms of an A.P. is 3n2 + 4n. Find the 25th term of this A.P.
If Sr denotes the sum of the first r terms of an A.P. Then , S3n: (S2n − Sn) is
If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is
The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is
x is nth term of the given A.P. an = x find x .
Q.15
How many terms of the A.P. 24, 21, 18, … must be taken so that the sum is 78? Explain the double answer.
If an = 3 – 4n, show that a1, a2, a3,... form an AP. Also find S20.
Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4.
The sum of 41 terms of an A.P. with middle term 40 is ______.
