Advertisements
Advertisements
प्रश्न
If (3y – 1), (3y + 5) and (5y + 1) are three consecutive terms of an AP then find the value of y.
Advertisements
उत्तर
It is given that (3y - 1),(3y +5) and (5y +1) are three consecutive terms of an AP.
∴ (3y +5 ) -(3y-1) = (5y+1) -(3y+5)
⇒ 3y +5-3y +1 = 5y +1 -3y -5
⇒ 6 = 2y - 4
⇒ 2y = 6+4 =10
⇒ y = 5
Hence, the value of y is 5.
APPEARS IN
संबंधित प्रश्न
If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their mth terms.
Find the 9th term from the end (towards the first term) of the A.P. 5, 9, 13, ...., 185
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
Find the sum of the following APs.
−37, −33, −29, …, to 12 terms.
Find the sum of the odd numbers between 0 and 50.
The sum of the first n terms of an AP is given by `s_n = ( 3n^2 - n) ` Find its
(i) nth term,
(ii) first term and
(iii) common difference.
How many terms of the AP 63, 60, 57, 54, ….. must be taken so that their sum is 693? Explain the double answer.
If the ratio of sum of the first m and n terms of an AP is m2 : n2, show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1) ?
Find the first term and common difference for the following A.P.:
5, 1, –3, –7, ...
Choose the correct alternative answer for the following question .
In an A.P. first two terms are –3, 4 then 21st term is ...
There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?
Find the sum (−5) + (−8)+ (−11) + ... + (−230) .
The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1 : 2. Find the first and 15th term of the A.P.
If the sum of first p term of an A.P. is ap2 + bp, find its common difference.
If S1 is the sum of an arithmetic progression of 'n' odd number of terms and S2 the sum of the terms of the series in odd places, then \[\frac{S_1}{S_2} =\]
The sum of first 20 odd natural numbers is
Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4.
The sum of all two digit odd numbers is ______.
The sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms.
Find the middle term of the AP. 95, 86, 77, ........, – 247.
