Advertisements
Advertisements
प्रश्न
The common difference of the A.P. \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\] is
पर्याय
2b
−2b
3
- 3
Advertisements
उत्तर
Let a be the first term and d be the common difference.
The given A.P. is \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\]
Common difference = d = Second term − First term
= \[\frac{1 - 6b}{2b} - \frac{1}{2b}\]
= \[\frac{- 6b}{2b} = - 3\]
APPEARS IN
संबंधित प्रश्न
Find the sum given below:
–5 + (–8) + (–11) + ... + (–230)
In an AP given l = 28, S = 144, and there are total 9 terms. Find a.
How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?
If the sum of the first n terms of an AP is 4n − n2, what is the first term (that is, S1)? What is the sum of the first two terms? What is the second term? Similarly, find the 3rd, the 10th, and the nth terms.
In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant will be the same as the class, in which they are studying, e.g., a section of class I will plant 1 tree, a section of class II will plant 2 trees, and so on till class XII. There are three sections of each class. How many trees will be planted by the students?
Write the next term for the AP` sqrt( 8), sqrt(18), sqrt(32),.........`
Find the sum of first n even natural numbers.
Choose the correct alternative answer for the following question .
If for any A.P. d = 5 then t18 – t13 = ....
If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].
The 9th term of an A.P. is equal to 6 times its second term. If its 5th term is 22, find the A.P.
If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =
If Sr denotes the sum of the first r terms of an A.P. Then , S3n: (S2n − Sn) is
Sum of n terms of the series `sqrt2+sqrt8+sqrt18+sqrt32+....` is ______.
Suppose the angles of a triangle are (a − d), a , (a + d) such that , (a + d) >a > (a − d).
Q.2
Find whether 55 is a term of the A.P. 7, 10, 13,... or not. If yes, find which term is it.
In an A.P. a = 2 and d = 3, then find S12.
The middle most term(s) of the AP: -11, -7, -3,.... 49 is ______.
An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three is 429. Find the AP.
Find the sum of all the 11 terms of an A.P. whose middle most term is 30.
