Question:
If a, b, c are in Arithmetic Progression, then a + c =
If a, b, c are in Arithmetic Progression, then a + c =
Updated On: Apr 5, 2025
- b
- 2b
- b-a
- b+a
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Correct answer: 2b
Explanation:
If \( a, b, c \) are in Arithmetic Progression, then: \[ b = \frac{a + c}{2} \] Multiplying both sides by 2: \[ 2b = a + c \]
Hence, \( a + c = {2b} \)
Was this answer helpful?
0
0
Top Questions on Arithmetic Progressions
- 15th term of the A.P. \( \frac{13}{3}, \frac{9}{3}, \frac{5}{3}, \dots \) is
- CBSE Class X - 2025
- Mathematics
- Arithmetic Progressions
- If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is
- CBSE Class X - 2025
- Mathematics
- Arithmetic Progressions
- The 10th term of an arithmetic progression is 35 and the 20th term is 65. What is the first term?
- AP EAPCET - 2025
- Mathematics
- Arithmetic Progressions
- The number of ways of selecting 3 numbers that are in Arithmetic Progression (A.P.) from the set \(\{1, 2, 3, \ldots, 100\}\) is:
- AP EAPCET - 2025
- Mathematics
- Arithmetic Progressions
- The sum of the first 10 terms of an arithmetic progression is 145, and the first term is 1. Find the common difference.
- AP EAPCET - 2025
- Mathematics
- Arithmetic Progressions
View More Questions
Questions Asked in AP POLYCET exam
- If assumed mean of a data is 47.5, \( \sum f_i d_i = 435 \) and \( \sum f_i = 30 \), then mean of that data is:
- AP POLYCET - 2025
- Arithmetic Mean
- Area of a sector of a circle with radius 4 cm and angle 30° is (use \( \pi = 3.14 \)):
- The points \( (1,5), (2,3) \) and \( (-2, -11) \) form a:
- A prime number \( p \) divides \( a^2 \) where \( a \) is a positive integer, then
- AP POLYCET - 2025
- Prime and Composite Numbers
- A pair of linear equations \( a_1 x + b_1 y + c_1 = 0 \) and \( a_2 x + b_2 y + c_2 = 0 \) is such that \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \), then they are:
- AP POLYCET - 2025
- Linear Equations
View More Questions