Advertisements
Advertisements
प्रश्न
The common difference of the A.P.
विकल्प
- \[\frac{1}{3}\]
- \[- \frac{1}{3}\]
−b
b
Advertisements
उत्तर
Let a be the first term and d be the common difference.
The given A.P. is \[\frac{1}{3}, \frac{1 - 3b}{3}, \frac{1 - 6b}{3}, . . .\]
Common difference = d = Second term − First term
= \[\frac{1 - 3b}{3} - \frac{1}{3}\]
= \[\frac{- 3b}{3} = - b\]
APPEARS IN
संबंधित प्रश्न
Find the sum of first 20 terms of the following A.P. : 1, 4, 7, 10, ........
Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
In an AP given a = 3, n = 8, Sn = 192, find d.
Show that a1, a2,..., an... form an AP where an is defined as below:
an = 9 − 5n
Also, find the sum of the first 15 terms.
If (m + 1)th term of an A.P is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.
Find the sum of 28 terms of an A.P. whose nth term is 8n – 5.
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 ______.
The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the A.P.
Write the expression of the common difference of an A.P. whose first term is a and nth term is b.
The first term of an A.P. is p and its common difference is q. Find its 10th term.
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 =
The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is
If 18, a, b, −3 are in A.P., the a + b =
Q.7
Q.19
If a = 6 and d = 10, then find S10
The sum of all two digit odd numbers is ______.
Find the sum of all odd numbers between 351 and 373.
