Advertisements
Advertisements
प्रश्न
If the numbers (2n – 1), (3n+2) and (6n -1) are in AP, find the value of n and the numbers
Advertisements
उत्तर
It is given that the numbers (2n-1) , (3n +2) and (6n -1) are in AP.
∴ (3n + 2) - (2n-1) = (6n-1) - (3n+2)
⇒ 3n + 2-2n +1 = 6n-1-3n-2
⇒ n +3=3n-3
⇒ 2n = 6
⇒ n = 3
When , n = 3
2n - 1 = 2×3 -1=6-1=5
3n + 2 = 3×3+2=9+2=11
6n -1 = 6 × 3-1=18-1=17
Hence, the required value of n is 3 and the numbers are 5, 11 and 17.
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?
The sum of the first p, q, r terms of an A.P. are a, b, c respectively. Show that `\frac { a }{ p } (q – r) + \frac { b }{ q } (r – p) + \frac { c }{ r } (p – q) = 0`
Find the sum given below:
34 + 32 + 30 + ... + 10
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
A contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money does the contractor have to pay as a penalty if he has delayed the work by 30 days.
The fourth term of an A.P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A.P. and the sum of first 50 terms.
The 9th term of an AP is -32 and the sum of its 11th and 13th terms is -94. Find the common difference of the AP.
How many two-digits numbers are divisible by 3?
If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.
If the sum of first m terms of an AP is ( 2m2 + 3m) then what is its second term?
The first term of an AP is p and its common difference is q. Find its 10th term.
Find the sum of all multiples of 9 lying between 300 and 700.
The next term of the A.P. \[\sqrt{7}, \sqrt{28}, \sqrt{63}\] is ______.
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
Choose the correct alternative answer for the following question .
If for any A.P. d = 5 then t18 – t13 = ....
If the 10th term of an A.P. is 21 and the sum of its first 10 terms is 120, find its nth term.
The sum of first n terms of an A.P is 5n2 + 3n. If its mth terms is 168, find the value of m. Also, find the 20th term of this A.P.
Write the value of x for which 2x, x + 10 and 3x + 2 are in A.P.
If a = 6 and d = 10, then find S10.
Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5.
