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
How many terms of the A.P. 65, 60, 55, .... be taken so that their sum is zero?
Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120
Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3
Determine the A.P. whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.
A small terrace at a football field comprises 15 steps, each of which is 50 m long and built of solid concrete. Each step has a rise of `1/4` m and a tread of `1/2` m (See figure). Calculate the total volume of concrete required to build the terrace.
[Hint: Volume of concrete required to build the first step = `1/4 xx 1/2 xx 50 m^3`]

Find the sum of the following arithmetic progressions:
1, 3, 5, 7, ... to 12 terms
Find the sum of all 3-digit natural numbers, which are multiples of 11.
Find the sum of first 20 terms of the sequence whose nth term is `a_n = An + B`
The sum of n natural numbers is 5n2 + 4n. Find its 8th term.
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.
Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.
Determine k so that (3k -2), (4k – 6) and (k +2) are three consecutive terms of an AP.
The first three terms of an AP are respectively (3y – 1), (3y + 5) and (5y + 1), find the value of y .
There are 37 terms in an A.P., the sum of three terms placed exactly at the middle is 225 and the sum of last three terms is 429. Write the A.P.
Find the sum of the first 15 terms of each of the following sequences having nth term as xn = 6 − n .
The sum of the first n terms of an A.P. is 4n2 + 2n. Find the nth term of this A.P.
If Sn denotes the sum of first n terms of an A.P., prove that S12 = 3(S8 − S4).
Mark the correct alternative in each of the following:
If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is
Q.4
In an A.P. sum of three consecutive terms is 27 and their products is 504. Find the terms. (Assume that three consecutive terms in an A.P. are a – d, a, a + d.)
