Arithmetic progression - practice problems
An arithmetic progression (AP) is a sequence of numbers where the difference between any two consecutive terms is a constant value. This constant difference is called the common difference.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 405
- The sum 53
The sum ofthree numbers of a GP series is 35 and their product is 1000. Find the numbers. - A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own. - The median 3
The median of the following observations arranged in ascending order is 64: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 Find the value of x. - Common difference
What is the common difference of an AP (arithmetic progression) in which a₁₈ – a₁₄ = 32 - Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million? - Binary series
The 4th term of a G.P. is 16 and the 7th term is 128 . Find the first term and common ratio of the series. - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles.
- Consecutive odd nums Sum of four consecutive odd numbers is 40. Find the numbers.
- The common difference 2
Find the common difference of an arithmetic progression (AP), whose first term is 5 and sum of its first 4 terms is half the sum of the next four terms. - Split 207 Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623.
- Descent GP Determine the 18th term of the GP whose 5th term is 1 and common ratio is 2/3.
- Negative term Which term of the AP 24,21,18,15,.....is the first negative term?
- The common difference Find the common difference of an arithmetic progression (AP), whose 1st term is 5 and the sum of its 1st 4 terms is half the sum of the next four terms.
- What will What will be the average of the numbers from 1 to 51?
- The average 13
The average of 6 consecutive odd numbers is 64. Find the greatest number.
- The sum 47 The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers.
- Series - double GP In the following series, which number will replace the question mark? 4, 32, 16, 128, 64,?
- The 5th The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP.
- The sum 46
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? - The angles 5 The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles.
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