The sum of $5$ digit numbers in which only odd digits occur without any repetition is
- $277775$
- $555550$
- $ 1111100 $
- $6666600$
The Correct Option is D
Solution and Explanation
Top Questions on Arithmetic Progression
- Given a series \( 5, 8, 11, 14, \dots \), if the \( n \)-th term of the given series is 320, then find \( n \) (where \( n \geq 1 \)):
- GATE XH-C1 - 2025
- Mathematics
- Arithmetic Progression
- For a set of \( n \) integers in arithmetic progression, the difference between twice the median of the set and the range of the set is equal to twice the first term.
- NPAT - 2025
- Quantitative Aptitude
- Arithmetic Progression
The remainder when \( 64^{64} \) is divided by 7 is equal to:
- JEE Main - 2025
- Mathematics
- Arithmetic Progression
- If \( x_1, x_2, x_3, x_4 \) are in GP (Geometric Progression), then we subtract 2, 4, 7, and 8 from \( x_1, x_2, x_3, x_4 \) respectively, then the resultant numbers are in AP (Arithmetic Progression). Then the value of \( \frac{1}{24} (x_1 \cdot x_2 \cdot x_3 \cdot x_4) \) is:
- JEE Main - 2025
- Mathematics
- Arithmetic Progression
- Let there be two A.P.'s with each having 2025 terms. Find the number of distinct terms in the union of the two A.P.'s, i.e., \( A \cup B \), if the first A.P. is \( 1, 6, 11, \dots \) and the second A.P. is \( 9, 16, 23, \dots \).
- JEE Main - 2025
- Mathematics
- Arithmetic Progression
Notes on Arithmetic Progression
- Arithmetic Progressions Properties Formulas and Solved Examples mathematics
- Algebraic Operations on Complex Numbers Mathematics
- Arithmetic Progression Mathematics
- NCERT Solutions for class 10 Mathematics Chapter 5 Arithmetic Progressions
- MCQs On Arithmetic Progression Mathematics
- Arithmetic Geometric Sequence Mathematics
Concepts Used:
Arithmetic Progression
Arithmetic Progression (AP) is a mathematical series in which the difference between any two subsequent numbers is a fixed value.
For example, the natural number sequence 1, 2, 3, 4, 5, 6,... is an AP because the difference between two consecutive terms (say 1 and 2) is equal to one (2 -1). Even when dealing with odd and even numbers, the common difference between two consecutive words will be equal to 2.
In simpler words, an arithmetic progression is a collection of integers where each term is resulted by adding a fixed number to the preceding term apart from the first term.
For eg:- 4,6,8,10,12,14,16
We can notice Arithmetic Progression in our day-to-day lives too, for eg:- the number of days in a week, stacking chairs, etc.
Read More: Sum of First N Terms of an AP