Question:
Check whether –150 is a term of the AP : 11, 8, 5, 2 .......
Check whether –150 is a term of the AP : 11, 8, 5, 2 .......
Updated On: Nov 3, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
For this A.P., \(a = 11\) and \(d = a_2 − a_1 = 8 − 11 = −3\)
Let \(−150\) be the nth term of this A.P.
We know that,
\(a_n = a + (n-1)d\)
\(-150 = 11 + (n-1)(-3)\)
\(-150 = 11-3n+3\)
\(-164 = -3n\)
\(n = \frac {164}{3}\)
Clearly, n is not an integer.
Therefore, \(−150\) is not a term of this A.P.
Was this answer helpful?
0
0
Top Questions on nth Term of an AP
- What is the sum of the infinite series \( S = \sum_{n=0}^{\infty} \frac{1}{3^n} \)?
- JEE Main - 2025
- Mathematics
- nth Term of an AP
Let $a_1, a_2, \ldots, a_n$ be in AP If $a_5=2 a_7$ and $a_{11}=18$, then $12\left(\frac{1}{\sqrt{a_{10}}+\sqrt{a_{11}}}+\frac{1}{\sqrt{a_{11}}+\sqrt{a_{12}}}+\ldots+\frac{1}{\sqrt{a_{17}}+\sqrt{a_{18}}}\right)$ is equal to
- JEE Main - 2023
- Mathematics
- nth Term of an AP
- Let \(a,b,c>1,a^3,b^3 \text{ and } c^3\) be in A.P., and \(log_ab, log_ca \text{ and } log_bc\) be in G.P. If the sum of first 20 terms of an A.P., whose first term is \(\frac{a+4b+c}{3}\) and the common difference is \(\frac{a−8b+c}{10}\) is −444, then abc is equal to:
- JEE Main - 2023
- Mathematics
- nth Term of an AP
Let $a_1, a_2, a_3, \ldots$ be an AP If $a_7=3$, the product $a_1 a_4$ is minimum and the sum of its first $n$ terms is zero, then $n !-4 a_{n(n+2)}$ is equal to :
- JEE Main - 2023
- Mathematics
- nth Term of an AP
- The $8^{\text {th }}$ common term of the series
$S_1=3+7+11+15+19+\ldots \ldots$
$S_2=1+6+11+16+21+\ldots $ is ______- JEE Main - 2023
- Mathematics
- nth Term of an AP
View More Questions
Questions Asked in CBSE X exam
- The sum of two numbers is 18, and the sum of their reciprocals is $\frac{1}{4}$. Find the numbers.
- CBSE Class X - 2024
- Linear Equations
- The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Prove that ABCD is a rhombus, and not a square.
- CBSE Class X - 2024
- Coordinate Geometry
- $ABCD$ is a trapezium with $AB \parallel DC$. $AC$ and $BD$ intersect at $E$. If $\triangle AED \sim \triangle BEC$, then prove that $AD = BC$.
- CBSE Class X - 2024
- Similarity of Triangles
- The sum of the first three terms of an AP is 30 and the sum of the last three terms is 36. If the first term is 9, then the number of terms is :
- CBSE Class X - 2024
- Arithmetic Progression
- Write down the difference between sight alignment and sight picture.
- CBSE Class X - 2024
- Weapon Training
View More Questions