# Arithmetic progression - practice problems

Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:

$a_{n}=a_{1}+(n−1)⋅d$

Sum of n AP members:

$s_{n}=n⋅2a_{1}+a_{n} $

#### Number of problems found: 381

- 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. - A pattern

If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear? - Ice cream 4

Ice cream sales for a shop in the last 4 months have been 200, 250, 300, and 350. What are the expected sales in the 5th month? - Arithmetic progressions.

Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Three members

If 2a+2+a =17, what is the value of a?

- Geometric progression

For the following geometric progression, find the seventh (7th) term: 4, 12, 36, 108, . - A man 12

A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - AP with variables

What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y - Fraction's sequence

What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ... - Eduardo

Eduardo wrote a fraction problem by adding 1/4 and then subtracting 2 1/2 in the same pattern, and he got these numbers: 8 5/8, 6 1/8, 6 3/8, 3 7/8 Identify the next two numbers in the pattern

- Geometric series

How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - What is 24

What is the sum of numbers between 20 and 40? - The sum 39

The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference. - The AP pattern

The number pattern below starts with 26.407. Subtract 0.325 from the previous term to find the next term. - AP Formula

Use the Arithmetic Sequence Formula to find the 120th term of this sequence: 3, 6, 9, 12, 15, 18, ...

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