Advertisements
Advertisements
प्रश्न
Find the first term and common difference for the A.P.
`1/4,3/4,5/4,7/4,...`
Advertisements
उत्तर
`1/4,3/4,5/4,7/4,...`
Here, t1 = a = `1/4`, t2 = `3/4`, t3 = `5/4`, t4 = `7/4`
d = t2 - t1 = `3/4-1/4`
= `(3-1)/4`
= `2/4`
= `1/2`
∴ First term is `1/4` and common difference (d) is `1/2`.
APPEARS IN
संबंधित प्रश्न
How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?
A ladder has rungs 25 cm apart. (See figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2 `1/2` m apart, what is the length of the wood required for the rungs?
[Hint: number of rungs = `250/25+ 1`]
The 9th term of an AP is –32 and the sum of its 11th and 13th terms is –94. Find the common difference of the AP.
The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is (a + l).
The first three terms of an AP are respectively (3y – 1), (3y + 5) and (5y + 1), find the value of y .
If the numbers a, 9, b, 25 from an AP, find a and b.
Write an A.P. whose first term is a and common difference is d in the following.
a = 6, d = –3
Find the first term and common difference for the A.P.
0.6, 0.9, 1.2,1.5,...
In an A.P. 17th term is 7 more than its 10th term. Find the common difference.
Choose the correct alternative answer for the following question .
In an A.P. first two terms are –3, 4 then 21st term is ...
The A.P. in which 4th term is –15 and 9th term is –30. Find the sum of the first 10 numbers.
Sum of 1 to n natural numbers is 36, then find the value of n.
Find the sum (−5) + (−8)+ (−11) + ... + (−230) .
In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences.
Q.5
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.
The sum of first five multiples of 3 is ______.
Find the sum of all 11 terms of an A.P. whose 6th term is 30.
Which expression gives the sum of the first n odd natural numbers \[1 + 3 + \cdots + (2n-1)\]?
