# Arithmetic progression - math word problems

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

${a}_{n}={a}_{1}+(n-1)\cdot d$

Sum of n AP members:

${s}_{n}=n\cdot {\displaystyle \frac{{a}_{1}+{a}_{n}}{2}}$

#### Number of problems found: 177

- HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,… - Geometric progression

Fill 4 numbers between 4 and -12500 to form geometric progression. - Negative difference

Find four arithmetic progression members between 7 and -6. - HP - harmonic progression

Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Difference AP

Calculate the difference of arithmetic progression if the sum of its first 19 members Sn = 8075 and the first member is a_{1}= 20 - Geometric progression

In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217. - Determine AP

Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71 - 10th term

What is the 10th term of the Arithmetic Progression if x1=4 and d=5? - Insert 3

Insert five arithmetic progression members between -7 and 3/2. - Common difference

The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th term is -72, find the common difference. - AP members

What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20? - Arithmetic progression

In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ? - HP - harmonic progression 2

Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively. - GP - 8 items

Determine the first eight members of a geometric progression if a_{9}=512, q=2 - Sum of members

What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5? - Fifth member

Determine the fifth member of the arithmetic progression, if the sum of the second and fifth members equal to 73, and difference d = 7. - Missing term 2

What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875? - AP RT triangle

The length of the sides of a right triangle form an arithmetic progression, longer leg is 24 cm long. What are the perimeter and area? - Q of GP

Calculate quotient of geometric progression if a1=5 a a1+a2=12. - Sum 1-6

Find the sum of the geometric progression 3, 15, 75,… to six terms.

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See also more information on Wikipedia.