Advertisements
Advertisements
प्रश्न
Which term of the sequence 114, 109, 104, ... is the first negative term?
Advertisements
उत्तर
Here, A.P is 114, 109, 104, ..
So, first term, a = 114
Now,
Common difference (d) = a1 - a
= 109 - 114
= -5
Now, we need to find the first negative term,
an < 0
114 + (n-1) (-5) < 0
114 - 5n + 5 < 0
119 - 5n < 0
5n > 119
Further simplifying, we get,
n > `119/5`
n > 23 `4/5`
n ≥ 24 (as n is a natural m=number)
Thus, n = 24
Therefore, the first negative term is the 24th term of the given A.P.
APPEARS IN
संबंधित प्रश्न
Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120
The sum of n terms of three arithmetical progression are S1 , S2 and S3 . The first term of each is unity and the common differences are 1, 2 and 3 respectively. Prove that S1 + S3 = 2S2
Find the sum of first n odd natural numbers
Find the 8th term from the end of the AP 7, 10, 13, ……, 184.
Write an A.P. whose first term is a and common difference is d in the following.
a = –3, d = 0
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.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
Choose the correct alternative answer for the following question .
In an A.P. first two terms are –3, 4 then 21st term is ...
In an A.P. the 10th term is 46 sum of the 5th and 7th term is 52. Find the A.P.
Find out the sum of all natural numbers between 1 and 145 which are divisible by 4.
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.
The common difference of the A.P. is \[\frac{1}{2q}, \frac{1 - 2q}{2q}, \frac{1 - 4q}{2q}, . . .\] is
Let the four terms of the AP be a − 3d, a − d, a + d and a + 3d. find A.P.
Q.1
Q.2
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 ______.
Three numbers in A.P. have the sum of 30. What is its middle term?
In a ‘Mahila Bachat Gat’, Kavita invested from the first day of month ₹ 20 on first day, ₹ 40 on second day and ₹ 60 on third day. If she saves like this, then what would be her total savings in the month of February 2020?
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.
