Advertisements
Advertisements
Question
Is −150 a term of the A.P. 11, 8, 5, 2, ...?
Solution
In the given problem, we are given an A.P and the value of one of its term.
We need to find whether it is a term of the A.P or not.
So here we will use the formula, `a_n = a + (n - 1)d`
Here, A.P is 11, 8, 5, 2,....
`a_n = -150`
a = 11
Now
Common difference(d) = `a_1 - a`
= 8 − 11
= −3
Thus, using the above mentioned formula
- 150 = 11 + (n − 1) (−3)
-150 − 11 = −3n + 3
-161 − 3 = −3n
`n = (-164)/(-3)`
Since, the value of n is a fraction.
Thus −150 is not the term of the given A.P.
Therefore the answer is NO.
APPEARS IN
RELATED QUESTIONS
In the following situation, involved make an arithmetic progression? and why?
The taxi fare after each km when the fare is ₹ 15 for the first km and ₹ 8 for each additional km.
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
`sqrt3, sqrt6, sqrt9, sqrt12 ...`
State whether the following sequence is an Arithmetic Progression or not:
3, 6, 12, 24,......
Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
Which term of an A.P. 16, 11, 6, 1, ... is – 54?
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
Decide whether the given sequence 2, 4, 6, 8,… is an A.P.
The next term of the sequence `1/(1+sqrtx), 1/(1-x), 1/(1-sqrtx)` is (x ≠ 1).
The angles of a triangle are in AP. The greatest angle is twice the least. Find all the angles of the triangle.
Write second and third term of an A.P. whose first term is 6 and common difference is – 3.
