Advertisements
Advertisements
प्रश्न
The first three terms of an AP are respectively (3y – 1), (3y + 5) and (5y + 1), find the value of y .
Advertisements
उत्तर
The terms (3y -1), (3y +5) and (5y +1) are in AP.
∴ (3 y + 5) - (3y-1) = (5y+1) - (3y+5)
⇒ 3y + 5-3y +1 = 5y + 1-3y-5
⇒6 = 2y-4
⇒ 2y = 10
⇒ y = 5
Hence, the value of y is 5.
APPEARS IN
संबंधित प्रश्न
How many terms of the A.P. 65, 60, 55, .... be taken so that their sum is zero?
The sum of three numbers in A.P. is –3, and their product is 8. Find the numbers
Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120
Check whether -150 is a term of the A.P. 11, 8, 5, 2, ....
In an AP, given a = 2, d = 8, and Sn = 90, find n and an.
Determine the A.P. Whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.
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.
Simplify `sqrt(50)`
Write the sum of first n odd natural numbers.
If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be
The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =
x is nth term of the given A.P. an = x find x .
The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.
The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.
The famous mathematician associated with finding the sum of the first 100 natural numbers is ______.
Find the sum of the integers between 100 and 200 that are not divisible by 9.
The ratio of the 11th term to the 18th term of an AP is 2 : 3. Find the ratio of the 5th term to the 21st term, and also the ratio of the sum of the first five terms to the sum of the first 21 terms.
Sum of 1 to n natural number is 45, then find the value of n.
Find the sum of first 20 terms of an A.P. whose nth term is given as an = 5 – 2n.
Rohan repays his total loan of ₹ 1,18,000 by paying every month starting with the first installment of ₹ 1,000. If he increases the installment by ₹ 100 every month, what amount will be paid by him in the 30th installment? What amount of loan has he paid after 30th installment?
